That's actually a fairly complicated question to answer generically, because the size of the PT and the size of the holding patterns vary based on different factors.
It's easy to answer on a case-by-case basis, though. At QUIRT at 14100, a holding pattern would indeed fit within the area evaluated for the PT. So if there was a policy to do wholesale replacement of PT with holds (without further evaluation), this specific PT could be replaced by a holding pattern with a minimum altitude of 14100. However, that poses a problem, doesn't it? Because now you're crossing QUIRT inbound at 14,100, which is obviously not going to work for the descent. The advantage that PTs have over holding patterns is that once you're on the inbound segment the evaluated area is smaller and therefore you can often go lower (like here). A holding pattern doesn't have that, it's one big oval and an obstacle (like a mountain) anywhere affects the whole thing.
But the holding pattern involved at QUIRT would actually be smaller than the PT, so with that in mind (and further evaluation and flight check), maybe it could result in a lower altitude that would work. Or, maybe that was tried and didn't work, where the PT does. It just all depends.