Long ago when tube preamp circuits were very prone to hum pickup it was a good idea to keep the power supply physically separated from the amplification circuits. In power amps too!.
But it all depends on the circuitry. I built a Heathkit preamp that had lots of shielded wires, some of them further enclosed in a spring-like sheath. It hummed. Later I built a dynakit preamp which not only had no shielded wire, but didn't even have twisted pairs. It was dead quiet. Same tube types, but different circuitry.
Having the power supply on a separate chassis permits the preamp to be smaller and cosmetically attractive. It is not necessary for performance reasons.
But it all depends on the circuitry. I built a Heathkit preamp that had lots of shielded wires, some of them further enclosed in a spring-like sheath. It hummed. Later I built a dynakit preamp which not only had no shielded wire, but didn't even have twisted pairs. It was dead quiet. Same tube types, but different circuitry.
Having the power supply on a separate chassis permits the preamp to be smaller and cosmetically attractive. It is not necessary for performance reasons.