To be fair, there's intelligence and your intelligence ability score. Take, for example, speed. In D&D it's derived in several ways. If you're talking about reaction time, fast drawing weapons or slight of hand then Dex more than differentiates characters speed. Over a foot race or chase, though your move becomes more important. If it's how long it takes you to run a marathon or cross a desert, you could even apply your con score. All of these apply to 'speed'.
So intelligence. Yes, there is an ability score and the rules tell us what that means. There is also language proficiency, feats and skills that play a part as well. Overall is your 'intelligence' not a combination of them all?
I understand both sides of this argument. Personally, I would role play a low int character as just that. However, I wouldn't sit and not contribute ooc. D&D is a team game, no?
But... I also get the position that intelligence as an ability score only tells part of the story.
Personally, I'd go with either at my table if it was part of a cool overall character idea.