I believe this next part occured after the meal possibly when Jesus was leaving the man's home
25 Now great crowds were traveling with Him. So He turned and said to them:
I think this goes in line with what we see in chapter 15
15:1
All the tax collectors and sinners were approaching to listen to Him. 2 And the Pharisees and scribes were complaining, “This man welcomes sinners and eats with them!”
The interpretation still stands because of the presence of the Scribes, you have to understand that throughout the gospel of Luke Jesus has several encounters with the Scribes and they're all about challenging Jesus' teaching or Jesus' authority to teach.
Luke. Luke’s Gospel portrays the scribes as teachers of the law and legal experts. In specific instances, Luke also seemed to equate the term νομοδιδάσκαλος (nomodidaskalos) (Luke 5:17, 21) and νομικός (nomikos) (Luke 11:37–54) as equivalent for γραμματεύς (grammateus).
Like the Gospel of Mark, Luke portrays the scribes together with either the Pharisees or chief priests and elders questioning the authority of Jesus. The scribes together with the Pharisees asked why Jesus was eating with the tax collectors and sinners (Luke 5:27–32; 15:1–2). Together with the chief priests and elders, they also questioned Jesus’ authority to teach (20:1–2). As teachers of the law, the scribes also questioned Jesus’ right to forgive sins (5:17–21). One time, however, the scribes did acknowledge Jesus’ expertise in the law (20:39).
Luke likewise shows the scribes as part of the leadership responsible for Jesus’ death. The scribes looked for opportunities to see Jesus break the law in order to accuse Him (Luke 6:6–11), and they were portrayed as plotting with the chief priests against Jesus after His temple demonstration (Luke 19:47–48). The scribes were also a part of the Jewish council who interrogated Jesus (Luke 22:66). Luke also links the scribes to the arrest and crucifixion of Jesus (Luke 9:22) and shows the scribes and chief priests accusing Jesus in front of Herod (Luke 23:10).
Similar to Mark, Luke also portrayed Jesus as denouncing the scribes who liked to display their clothes, be praised in public, exploit widows, and show off their piety (Luke 20:45–47). In addition, Luke also depicts Jesus as condemning the lawyers for increasing the burden of the people and hindering their knowledge while being hypocrites (Luke 11:37–54). Jesus openly provokes the scribes and Pharisees by healing on the Sabbath (Luke 6:6–11).
TanGatue, P. (2012). Scribe. In J. D. Barry & L. Wentz (Eds.), The Lexham Bible Dictionary (J. D. Barry & L. Wentz, Ed.). Bellingham, WA: Logos Bible Software.
BTW, if you notice neither Jesus or Luke call the accounts in Chapter 16 parables. Like I said before it's really wrong for us to get hung up on if these are literal or parables because the spiritural truths remain the same. We have no reason to say these are allegories.
In the context of Luke 15-16 he only calls one of the Parables a Parable and that is the Parable of the Lost Sheep in v.3. Notice however how he begins the Parable of the Prodigal Son, the Parable of the Dishonest Manager and the Parable of the Rich man and Lazarus.
A
certain man had two sons.
Ἄνθρωπός τις εἶχεν δύο υἱούς. (Luke 15:11 - The beginning of the passage on the Parable of the Prodigal Son)
A
certain man was rich, who had a manager.
Ἄνθρωπός τις ἦν πλούσιος ὃς εἶχεν οἰκονόμον,(Luke 16:1 - The beginning of the passage on the Parable of the Dishonest Manager).
Now a
certain man was rich,
Ἄνθρωπος δέ
τις ἦν πλούσιος, (Luke 16:19 - The beginning of the passage on the Parable of the Rich Man and Lazarus)
Notice the continuation of this same phrase Ἄνθρωπος τις or certain man that consistently begins each of these 3 passages. The first two are obviously parables, yet the last passage on the Rich man and Lazarus people doubt.. this cannot be exegetically argued in my opinion, as the structure of Jesus parables in Luke. Please note the other parables that also begin in kind.
A
certain man was going down from Jerusalem to Jericho, and fell into the hands of robbers, who both stripped him and beat him. (Lk 10:30).
Note that this is the beginning of the parable of the Good Samaritan.
And he told a
parable to them, saying, “The land of a
certain rich man yielded an abundant harvest. (Lk 12:16).
This parable of the Rich Fool in Luke 12 expcitly begins with Luke notifying the reader it's a parable but of course follows the normal method of beginning with an ambiguous man who usually represents in some sense either Jesus himself, such as the Good Samaritan, or someone from the crowd he is rebuking. In this instance that would be the man from the crowd who asks Jesus to tell his brother to divide his inheritance with him in v.13
And he told this
parable: “A
certain man had a fig tree planted in his vineyard, and he came looking for fruit on it and did not find any. (Lk 13:6).
The Parable of the Barren Fig Tree further supports my thesis. The Parable found in Luke 14:16 also supports my position.
Now it is possible for you to object that this is a phrase that Luke enjoys using even in his narrative, however every single use of this phrase by Jesus comes at the beginning of a Parable. Indeed, in the instance of Jesus teaching on the Rich man and Lazarus it would be the ONLY instance where Jesus used this phrase and wasn't speaking in a parable.
Simply put, it is a near impossible position to reason that this isn't a parable. About the only leg for someone holding this position to stand on is that the poor man is given a name and this would be a unique parable that Jesus gave. Indeed this is a unique passage in general, and if one simply looks into the significance of the word and the imagery used it's easy to dismiss this argument.