The bathroom housing for important items like toothbrushes and toothpaste - at Ispoyntel (a treasure of a holiday rental we've enjoyed now a few times).. runs straight back from the basin which then gets water on it. It is also (we find) not tall enough. Just a bit tricky to get things in and out of.
I think it should not only be taller - but also raised up higher than the basin surface. Not so high that it takes away too much mirror but for sure - you could afford to lose some of the mirror low down.
The height of this recessed space is 240mm.
The design for our space will also include some lighting - sitting on the ceiling of the recess - so that it can be left on separate from the bathroom's main lights - in the evening. Nice!