It seems more a way to fuel depressions than a useful way to analyze anything.
There are other resource concerns that are sometimes expressed in a form mimicking the peak-oil reasoning, but (with the exception of other fossil fuels and helium) the parallel is specious. Not, however, for the reason you cite (which applies equally well to oil), but because used platinum, phosphorus, lithium, and so on, are not destroyed; they can be mined from landfills or, in the case of phosphorus, the ocean. So intellectually sloppy advocates of conservation of these other resources imitate the well-founded peak-oil argument in a sad attempt to give their shabby arguments a veneer of respectability.
However, while Hubbert’s original reasoning for why an oil-extraction peak must exist is valid, his methods for estimating when it would happen have not held up.
For those who cannot afford, expensive things might as well not exist.
So although more precise, it deflects from the fact that the important aspect is economics.