IME 12v lights are generally a bit crap. We had 12v halogens and all sorts of problems with the power supplies dying, melted wires, etc.
I could be wrong, but I think this is more of an issue with halogens, than LED. Halogens are typically 20-35w each, so running at anywhere from 1.5-3A each (12v ones) & generating a lot of heat at the same time.
The halogens I replaced in the bathroom have gone from 20W to 4W each, so the demand on the power supply is lower, the current demand is lower & there is barely any heat generated.
But – having said all that, if I was starting from scratch I would be looking for a solution that ditched the separate power supplies & just wired straight into the mains.
Yeah they are the 12v jobs.
The LEDs were here when we moved in (2 days ago).
Unless it’s a new build, the chances are they were originally halogens & have been replaced with LED. I’d be trying to get access to the power supply & checking it’s DC. Even if they run with an AC power supply, it’ll dramatically shorten their life from what I have read.