Some experienced and knowledgeable people told me I was barmy to move my UK CPL to Austria in 2018, as surely the UK would not leave EASA and even if it did surely EASA would recognize UK stuff....
I have both UK and EU citizenship so I was keen to avoid a "worst case" scenario where I would be limited to only having a UK license, which would be useless in Europe.
Some of those same people changed their mind at the last minute and asked me for advice late last year about which EASA state to move their license to...
I'm glad I did move it. With the UK allowing EASA licenses to be used to fly UK aircraft, and issuing UK licenses again in April, there is no downside (except for the cost and time element, which wasn't too bad). I can even get a UK, EASA, and FAA medical in one go with the same guy.