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(+1)

I really like this but I was thinking my players would hate it (they are mostly only familiar with DnD 5e).  The d4s would be a big sticking point... then I realized I was an idiot... just use d20s and take the highest. Same tables but times 5: 1-5 Absolute Failure, 6-10 Partial Failure, 11-15 Partial Success, 16-20 Absolute Success. 

I know this kind of defeats the "Love for the unloved d4s" but I think I would have an easier time selling it...

(+1)

Go for it! I also found d12s that are done up to be d4s (so similar idea as yours), and they feel nicer to roll!