Why do you think Strongs and Vines interpret Pisteuo differently?
2 Thess. 2:11,12; (2) a personal surrender to Him, from Noeo.net.
Which I assume is your understanding of Vines as this website explains it as that.
g4100. πιστεύω pisteuō; from 4102; to have faith (in, upon, or with respect to, a person or thing), i.e. credit; by implication, to entrust (especially one's spiritual well-being to Christ): — believe(-r), commit (to trust), put in trust with.
AV (248) - believe 239, commit unto 4, commit to (one's) trust 1, be committed unto 1, be put in trust with 1, be commit to one's trust 1, believer 1;
to think to be true, to be persuaded of, to credit, place confidence inof the thing believedto credit, have confidence
in a moral or religious referenceused in the NT of the... Strongs.
2 Thessalonians 2:11-12
11 And for this reason God will send them strong delusion, that they should believe the lie, 12 that they all may be condemned who did not believe the truth but had pleasure in unrighteousness.