Chameleon Pentominoes

PENTOMINO CONJECTURE- After three years of trying, it is my conjecture that a Sudoku grid cannot be filled with 16 pentomino killer cages, all of value 25 (plus one single cell of value 5), where duplicate pentomino shapes (including reflections and rotations) always have the same numbers, and numbers do not repeat in cages. I encourage any setters to try to complete my quest. I have created the next best thing: Normal Sudoku rules apply. CHAMELEON KILLER CAGES(+)- Numbers in cages sum to 25. Numbers do not repeat in cages. Killer cages highlighted the same color have the same set of numbers in them (regardless of shape). LITTLE KILLER SUMS- Numbers outside the grid are the sum of the indicated diagonal. KROPKI PAIRS- Numbers with a black dot between them are in a ratio of 2:1. Numbers with a white dot between them are consecutive. Where there is a conflict, black dots are shown. All possible dots are given BETWEEN DIGITS WITHIN THE SAME CAGE as one another. No negative restriction between cells of different cages.