The writer of Hebrews wrote Heb 2:9
9 But we see Jesus, who was made a little lower than the angels for the suffering of death, crowned with glory and honour; that he by the grace of God should taste death for every man.
Now honestly, did the writer write here that Christ tasted death for all mankind without exception here ? Nope he did not. In the original man isnt in the verse:
τὸν δὲ βραχύ τι παρ᾽ ἀγγέλους ἠλαττωμένον βλέπομεν Ἰησοῦν διὰ τὸ πάθημα τοῦ θανάτου δόξῃ καὶ τιμῇ ἐστεφανωμένον ὅπως χάριτι θεοῦ ὑπὲρ παντὸς γεύσηται θανάτου
Man was added by the translators. The word pas can refer to all the whole, the sum total of all the group intended. Context is important n determining the group that the writer has in mind. Lets look at the very next verse 10
10 For it became him, for whom are all things, and by whom are all things, in bringing many sons unto glory, to make the captain of their salvation perfect through sufferings.
Bingo, its the many sons that e suffered and died for, or tasted death for, The word many polys:
many, much, large, many, numerous, great
He tasted death for many Sons, a great number of them, everyone of them. This is important,, because later in the same epistle the writer uses the adjective many again to denote who He tasted death for Heb 9:28
So Christ was once offered to bear the sins of many; and unto them that look for him shall he appear the second time without sin unto salvation.
See to taste death back in Heb 2:9 is the exact same thing as " to bear the sins of many;" again, the many Sons of vs 10, everyone of the sons is who He tasted death for, not all of mankind without exception.
See Isa 53:11
He shall see of the travail of his soul, and shall be satisfied: by his knowledge shall my righteous servant justify many; for he shall bear their iniquities.