Yes. I’ve collected quite a few over the years. Some coins from the later empire are quite affordable due to the mismanagement of the fiscal system during the crisis of the third century.
What you call mismanagement is an inevitability that no amount of "proper management" can solve. If the private sector runs a surplus, the public sector must run a deficit. It's that simple.
I wish money was just a medium of exchange. Nobody needs money to be a store of value. It's a fallacy. We have an entire banking system that already does that part.
The usual factors are: it’s less glamorous so there are fewer collectors; we find more hoards from troubled times; debased coins tend to be more common (they would not be debased if there was no need for more coins).
Yes, the coins were heavily debased during this period, which was one of the main causes of the collapse of the Roman Economy during this period. The Antoninianus coin went from around 40% silver to less than 5% silver in a thirty period from the 240's until the 270's. A great number them were minted in the later time period.
I wish money was just a medium of exchange. Nobody needs money to be a store of value. It's a fallacy. We have an entire banking system that already does that part.