I am rephrasing if i have understood Mean Mini Medley rules correctly
from the 6 sudokus using variant or classic rules, 2 solutions ( 3 pairs )will be same, so only 3 unique solution grids.
Also if one solution has 123 missing , other two solutions will have 4,5,6 and7,8,9 missing to make a complete set ( as an example)

There are no solutions that are same.

Each grid will overlap some boxes with another grid, and those two grids will share the same digit set, not necessarily the same solution (other than the overlapping boxes of course). Other than that the understanding looks good.