That’s a big mistake.
Set Items are already hardly competitive, with some very few exceptions.
I totally get, that you don’t want to make sets too powerfull
But this will give the death blow to most of them and the very few that will still be used will be even more niche.
I would be ok with making it very hard to get 3 or 4 LP set items (even low lvl ones), but at least 1 or 2 LP should be realistic for them.