Thanks for the infos.
I have a Caprice and I'd like to use it for classic mellower stuff and I'm thinking about getting a single H Special for more aggressive tones. If the Caprice with flats can do the P thing well I can even sell my P and keep the EBMM couple.
I'm struggling to find the model I want, so I'm probably gonna order online from a big UE shop like Thomann.