removal of push button and Rose

Morning-more great weather to get excited about traveling soon - 
Re the push-button locks on cupboards, I've removed the push button, but I can't remove the rose surround - any ideas- I have tried to bang it out but it is nearly damaging the rose is it screwed in? - I've got so many to do.
It is to respray them and also to recover the cupboards with vinyl.

I think from a long ago memory they are threaded so screw in push fit would just fall out with the shaking they they have to take

You can see here, that they are threaded....

https://www.ebay.co.uk/itm/353341225553

I thought this was about excommunicating a couple of members and was about to ask what Rose has done wrong.
After racking my brain wondering who push button was, I finally twigged.  

PLOUGHLIN wrote:I think they are serrated rather than threaded, should just push out with a wiggle or two.

Yes that makes more sense.

Thanks, everyone A wiggle or two - I wish - I have tried and tried -  think mine will not be like those on eBay - think the thread is straight then serrated - what are your thoughts with the picture please - woo that picture is a bit big - can you all scroll?

I have fitted/removed a few of these over the years and if yours are like all the others they simply push into a tight hole.
I must admit removing them can be tricky and care must be taken not to damage the wood but I have just prised many out with a suitable trim tool.
Gently tapping from the back can reveal a gap at the front which allows a tool to be inserted.

I replaced all of the ones on a Flair. I can confirm that they are serrated and not threaded.

The tightness, as fitted by A/S at the factory, seems very variable. Most can just be tapped from the back and they will gradually ease out - I used a socket that was just under the size of the hole, to apply pressure evenly, and that works well most of the time.

However, sometimes they simply won't come out without spalling away the front edge of the MDF. I had one like that, and it looked like the reason was that water had been spilled around the front (IIRC it was under the sink). The MDF started to spall away at the front, rather than a gap appearing, so I had to stop. The only solution I could find then was to use a hacksaw and cut a slot or two in the rosette from front to back. That released it without causing further damage to the hole.

In that case the spalling was fixable with a watered down solution of PVA glue, applied so that it soaked into the damaged area, and then clamping a flat piece of wood across the face, with a plastic sheet between to stop the wood sticking to the face. That worked well and the damage was almost invisible - though of course it was necessary to buy a new rosette! At the time they were cheap enough to just replace them all though.

Mine are the same, only chrome finish, just a push fit.
However one on the rear cupboard was creeping out over time so I used a little PVA glue to hold it in place. Maybe that's what a previous owner has done with yours.
Al.