I actually disagree with you there. I'd highly recommend present tense because of the closeness of the action, and the potential for strong voice. I do agree that one must be pretty comfortable writing in present tense, though, especially if they're coming from writing strictly past tense. It's a difficult switch to make, but not because present tense is difficult, rather because being used to doing something one specific way and switching it up always requires an adjustment period.
As for outward reflection, of course you can have that in present tense! It's a tricky balance if you're writing in limited POV, which is a given if you're doing first person but also possible in third, but it's really more about learning to shape your words differently. All the potential is still there!
I love present tense. It's definitely less popular than past, but when it's done well? CHEF'S KISS. It's my favorite haha