Depends on the nature and impact on the choice. If there's no untoward consequences to going along with the group decision, the INFJ will follow without a doubt.
Feelings for me has very little to do with truths. Emotional response and objective search of truth for me are parallel processes. Usually subjective values hits me faster than Ti analytical processing. I get an initial emotional judgment, then I pull back for analysis, and I alter my response based on the analysis. From the way you've described it, your approach seems to be completely different.And once the truth is apprehended, suitable/good/valuable feeling can be sought out and promoted.
This is a little different from seeking approval, observing however as we should that approval is quite likely to follow from instantiation of suitable/good/valuable feeling in the other person.
And while these claims are hopelessly apriori for yonder Ti types, do they nonetheless ring any bells?