As a Jewish person, I've pointed out on these boards before that this isn't really the case, because "phylactery" isn't a term that we use. Rather, we call them "teffilin," and calling them "phylacteries" is a conflation that's near-totally made by gentiles.
In that regard, liches using phylacteries is actually an improvement, because it helps to attach the term to something else, letting the erroneous "phylacteries are teffilin" idea wither on the vine. Which is to say, it was absolutely a hill worth dying on. Unfortunately, that didn't happen, and so another opportunity to help out a marginalized community was missed.