If you're in Oz there's a lot of new "cross breeds" popping up... most I'm not even sure if they're really crosspollinated or just the work experience kid at the nursery got lazy looking each pot up & just made up some new names... :P

Small plant about 20cm tall. Zone 9/10. Very early spring

Jon , a pic of the whole would have been the deciding factor also ,,,a distinct form Garen , I think it's time for a pic update before a camera won't fit in your yard ha , ron

There’s always Austrocylindropuntia subulata monstrose, but I don’t think that has a bunch of fuzzies like yours. Fuzzies is totally a botanical term ;). My guess is an Opuntia cross between subulata x vestita. I see it in stores as Austrocylindropuntia ‘Rollercoaster’. What gives it that real snowy fuzzy look is the Austrocylindropuntia vestita. It can take a ton of light/sun all day if you can give it or the new growth will become lanky.