I think I can agree with you on this. I'm not sure why v8 but definitely v13.
Php 2:12 Wherefore, my beloved, as ye have always obeyed, not as in my presence only, but now much more in my absence, work out your own salvation with fear and trembling.
Php 2:13 For it is God which worketh in you both to will and to do of his good pleasure.
Php 2:14 Do all things without murmurings and disputings:
Php 2:15 That ye may be blameless and harmless, the sons of God, without ....
Please forgive this weak rendering but many times I hear Paul as if he is speaking to his children.
Now my love, you are so obedient when I am there with you. You know that the things you do when I am there are the
things that God has for you to do as His children. So don't slack off when I'm not there.
As for with fear and trembling, I can't speak for anyone else but I don't like being chastised by someone who I know has done so much for me and truly loves me. There is nothing worse than looking into loving eyes and to have caused them to have to chastise you. It is embarassing, humiliating, and great sorrow.