Just out of a pool session where I used the Canon 8-15mm with a teleconverter and metabones adapter
I shot f/8 or f/11 looking at the images the issue with corners is actually depth of field it is not to do with the dome
In essence I have tried similar shots on land and i get edges to start blurring off when my target is really close but this is becasue the field of vies is 175 degrees
Some example nothing fancy but gives an idea
15mm f/8

16mm/f8

21mm/f8

15mm f11

Ovbiously those pool shot there is not much in the corners