I readily affirm that feelings are most important, but it's pretty common to refuse to abandon one's feelings or one's facts and logic in the name of consistency.
It's not that someone can expect you to feel differently because they've presented a logical argument. That's not likely or expected.
I’ll concede that some people don’t value logical consistency - but that doesn’t make them more rational in their arguments.
If there is subjectivity in a ‘logical inference’, I’ll err on the side of being open to it.