Unfortunately not quite, I have recently renewed my Fixed Wing Licence and received both EASA and CAA licences and the difference is minor, but the EASA number is GBR.FCL.PP.235272J.A and UK (ICAO) is GBR.PP.235272J.A so they have dropped the FCL part. I thought the same when the last number change came about, as they just added the GBR. bit on the front, so thought the sensible thing would be for the FAA to just recognise it as the same thing, but they didn't and needed everyone to change their 61.75 cert.
Also I have both Fixed wing and Rotary, and the Rotary licence has a H on the end instead of A, i.e. GBR.FCL.PP.235272J.H and my FAA 61.75 lists both Fixed wing and Rotary on the same cert but also says only valid when accompanied by United Kingdom Pilot Licence(s) and lists both licence numbers.