If someone has a particular fetish about all or most laws being defined at the state level, then yes Prop 13 was a "republican" bill. However, if someone prefers that most laws be defined at the most local level possible, then Prop 13 moved us away from such a model.
All of the benefits of Prop 13 have been undermined by subsequent legislation voted in by huge Democrat majorities. There are few nameable Republican contenders for statewide office, in part because it no longer makes a difference for citizens to vote for Republican mayors or county commissioners because they know their property taxes will stay the same regardless.
If people wanted to keep their taxes low, despite their desire for "free" government money, they would occasionally have to vote for Republicans. These mayors and commissioners could then run on "good government" records and vie for statewide offices.
Californians are not stupid. For years they made sure that the Republicans had their 1/3rd plus so that we could have our cake and eat it too: a solid Democrat majority to keep spending high, and just enough Republicans to keep taxes low.
But then we had redistricting in 2010 and we accidentally had too few Republicans to put a brake on taxes. Now we get to have high spending and high taxes.
Hopefully we'll be able to vote in just enough Republicans again (ones that are suitably pro-illegal-alien so we can get our lawns mowed and houses cleaned at cut-rate prices) to make sure that our taxes stay low while funding the ever-expanding pensions of government employees with funny money from the future.
Yeah but did you notice the question mark(s) after the middle dot?