As one of the ways to filter out insignificant levels I decided to check that is not above/below neighbors, but check that it's above/below at least by a certain amount.
I use ATR, so in params, you can set length of ATR and also ATR multiplier. The new level will be calculated only if PP will be above/below neighbors by atr * atr_mult.
It seems this approach might help in some cases.
Here I have PivotPoint + strategy: