For me BG3 is actually pretty heavy on "context". I don't see any way the combat mechanics clash with the narrative. We're larger than life heroes doing larger than life things. Shove is the least fantastical thing about what our characters can do and is only really an issue as a matter of balance, not a matter of story.
When my character leaps a huge distance it reinforces that my character, even if martial, is a great hero who could believably be expected to fight a flock of harpies or rush into melee against a massive owlbear. In fact I'd argue Larian's Jump is way better at giving value and immersion to a Strength based character than the actual tabletop is, as the distance you can jump is more extreme and visually impressive. I have so many fond memories both in singleplayer and multiplayer where my strength ranger was leaping around exploring the map and my wizardly friends were lagging behind unable to keep up without expending spell slots. Especially in multiplayer me and my friends enjoyed banter over the physical weakness of their characters that was only truly obvious because of mechanics like Shove and Jump.
My Tiefling bard with massive Strength picking up and tossing my friend's gnome bard into the enemy was both hilarious and an epic recreation of an iconic scene from Lord of the Rings, and it was only possible because of how impactful Strength is in throwing things.
Or another situation where my Githyanki leaped up a flight of stairs and used Cleave with his greatsword to cut down three goblin archers in a single swing. An epic, memorable moment that enhanced the feeling of being a heroic warrior.
It seems to me that it is less "the game lacks context" and more "I am not looking for this kind of fantasy".
Fair criticism of immersion, to me, would be in the way the game urges you to take as few long rests as possible narratively while requiring you to take many long rests to experience large chunks of the narrative. I've still not seen Gale's Weave scene because that just isn't the pace I play at. Things like that direly need to be addressed for the same of narrative and context, but certainly not the ability to push things.