Of course if we’re talking about an FTL-capable civilization then our understanding of physics is out of the window to begin with. I don’t think it’s reasonable to expect a civilization with FTL to make Dyson spheres or swarms, and it may be thst even if FTL is impossible it could be I desirable to build them. If the need to hide distinct technosignatures for some reason (Dark Forest perhaps) then any civilization would avoid Dyson structures.
FTL makes it worse. The only tech we need for us to Dyson up (95%?) of our entire visible light cone is self-replicating factories that work in a vacuum on (for example) Mercury: http://ukspace2015.co.uk/presentations/36
FTL makes that 100%, from beyond out cosmic horizons, even if it turns out that FTL isn’t automatically also a time machine like we currently think it is.
Pocket universes might help? I don’t know though, I’m saying that only because I’ve not seen them ruled out.
