In my experience, Uronema is USUALLY only a problem for some species, and even then often only new additions or unhealthy specimens. Chromis are an exception, most succumb (until established they seem to actually fight it off decently).
Anyhow technically if you want to eradicate it, you'd remove all fish and nuke everything and treat the fish with something such as metroplex for 15-30 days. HOWEVER -- I don't do this nor do I really recommend this course of action unless you have a really virulent strain or something along those lines.
GENERALLY susceptible fish:
Chromis
SOME butterflies -pearlscale & copperband being two I've seen it run rampant several times but most others are possible
SOME angelfish (usually dwarf angels and regal angels in particular though I've seen it take nearly all angels other than "large angels" where I've rarely seen a problem
SOMETIMES wrasse - seems to impact them more internally perhaps, based on some research from
@Humblefish where he noted that it was on the spine of some wrasse we'd assume had spinal injuries (fairy wrasse). I've lost other wrasse to it but it was in a QT with LOTS OF infected fish where I didn't catch it in time. Very virulent, very uncommon IME
That said, I often let things "calm down" a few months in the DT. Quarantine and observe new additions, and pretend it isn't there. That may not always work for chromis, but it seems to for most others. I've seen it work for chromis. It's true uronema may never leave, but it seems to be less of an issue over time -- though it CAN "return" at any time. I've run DT for a decade or more with a fish that died of uronema in it to never have any current or even new additions ever show symptoms or uronema to cause a problem.
LOTS of gray area with this, but PERSONALLY I'd rarely recommend nuking the entire DT to start over for uronema.
Interestingly, I've NEVER seen uronema impact a tang, even when other fish are dropping like flies around them. I always found that interesting.