Who said you could?
Question: Is a PROM, Read-Only Memory(ROM)?
Answer: Yes
Question: Is an EPROM Read-Only Memory(ROM)?
Answer: Yes
Question: Is an EPROM Programmable Read-Only Memory(PROM)?
Answer: Yes
For your position to be correct, you must answer "no" to all of those questions. Are you ready to take it to that level - complete absurdity.
Okay, "No," "No," and "No."
Respectively, a PROM is fuse-based and an EPROM is capacitor-based, while a ROM is masked at the foundry. The function of the longer acronyms may encapsulate the function of the shorter ones, but they are in fact completely distinct devices.
I couldn't use an EPROM burner to burn a PROM or vice versa. I sometimes couldn't even use a PROM burner to read a ROM (all these devices read as well as write). The technologies are that different, and you use the different ones for different conditions and requirements.