(assume when you say "permanent DST" you mean "permanent Summer Time" since "DST" is just a description of the overall switching convention, not any particular season)

Interestingly, in Ireland, the time definitions are reversed from most places - summer is standard, "Winter Time" is the deviation. This has the effect of aligning the "official" time with mainland Europe (Irish Standard Time = Central European Time) in theory, but never in practice.

Given that, if Ireland were to adopt the EU's plans to drop DST, there's a reasonable chance they could keep summer time.