My other car is a MINI!!!!
It would yes, but it would maintain a near stock afr, which is typically fairly lean for efficiency, and safe at factory boost levels as not much heat is created.
Runing those same afr's at higher boost creates much more heat. Typically a remap will alter fuelling tables to be richer at higher boost levels and leaner at lower boost for efficiency.
13:1 afr is reasonably safe at 6psi, not so much at 13psi! Factory fuelling is typically all in the 0.9x range.
Whilst an mbc can indeed be used as you say, drive it a little more and I think you'll start to notice things you don't like. Once the novelty of more power wears off you'll notice part throttle response is very poor, fuel economy will suffer even when not driving fast, and you'll get a nasty jerk when coming off part throttle as the car gets confused.
Around 10-11 psi seems to be the 'sweet spot' for an mbc on an agu. Any more and the part throttle jerk starts to ruin the drive, not to mention the previously mentioned dangers.
i discovered this years ago. I fitted an mbc and went straight for 18psi. The car flew, but I soon realised the downsides. Backing it down to 10psi saw it driving better again, but the drivability was transformed when I eventually got a proper remap.