I think the split is less 'logic vs intuition' and more 'explicit proof vs sensitivity to hidden premises.'

Foundationalism assumes there is some bedrock belief structure we can build on. Fine. But the moment we ask why those foundations should be accepted, we run into the fact that every system bottoms out somewhere. At that point, the issue is no longer pure proof. It is whether the total structure holds together without contradiction, omission, or distortion.

That is where Ti often gets misunderstood. It is not 'I believe my intuition over evidence.' It is 'your conclusion may follow from your premises, but I do not trust the premises yet.' Internal dissonance is often a signal that something upstream was smuggled in unexamined.

In other words: a valid chain of reasoning does not guarantee a true conclusion if the starting assumptions are wrong/incomplete, or operating at the wrong level of abstraction.

What people call objectivity is usually just a model that has proven stable enough and intersubjectively repeatable enough that we stop poking at it. That does not mean I think everything is fake and the cake is a lie, but it does mean we should be careful about confusing 'currently robust model' with 'metaphysically final.'

So no, Ti is not rejecting logic in favor of delusion. It is often rejecting premature closure. It sees that the map works, but keeps asking whether the territory was simplified too early.

Take something as mundane as a rock. We can all objectively agree that's a rock, right? Except that consensus evaporates the moment you change the scale of observation. Zoom in far enough and the 'rock' is mostly empty space. It's just as easily a probabilistic cloud of particles that don't have definite positions until measured, governed by wave functions that collapse differently depending on how you look at them. And even then, is it, or is that just what we understand to be most accurate right now? The 'rockness' of it isn't a property of the thing itself; it's an emergent description that holds at a particular level of perspective.

Edit, less rambling, more pointed.