I’m fairly sure they are different. IIRC, when I changed from a NAC52 head unit to a NAC252 I couldn’t keep the Burndy I was using on the NAC52 for my 252.
They’re different. Had a 52/52PS with a grey burndy. Kept an eye out for a second hand black 52 burndy. Was years before one turned up during which time several 252 ones were available. Of course if I’d realised the difference it makes I’d just have bought a new one.
As @Guinnless said, the burndy matches to the 52 or the 252 not the power supply. I used my 52 with a Supercap before the 52PS with the same burndy. (When I acquired the 52PS I moved the Supercap onto the Snaxo).