For the majority, it almost seems to act as a mini BTC halving simulation.
We see an increase in price/demand leading up to it, a quick selloff a week or so before the burn, a continued drop until halfway before the next burn, upon which the price begins to recover, and often reaches new highs.
The pattern is a lot more evident on the BTC pairing, but still not rock solid. There've been a couple months that don't obey the pattern, but I thought it was worth mentioning.
Take it how you wish.