As of today, you are not limited. They are all the same EASA license, but UK operators state UK issued license or willing to convert.
It's perfectly fine to work in the UK with any license under EASA, but I stand to be corrected on this. Maybe there is a self-imposed restriction on this in the UK.
All of my flight school mates are working, one for a Romanian operator with his Italian license, another one in Slovenia, and I recently obtained a job in another country with my Polish issued license. And the same would be possible with a UK license.
Until March 2019 if they don't reach a deal.