Usually the amp gets noisy and looses power when the capacitors go south.
The capacitors that are most likely to need replacement are the electrolytic filter caps. Unless they've been changed in last 10-15 years they probably need to be, they have a finite lifespan. They can last a century theoretically, but in actuality they don't. I've had old amps with 40 yr old filter caps that were fine, and I've seen 10 yr old caps start leaking. I look at replacing filter caps as routine maintenence, kinda like changing the oil on your car. They aren't that expensive once per decade or so.
Find that sage, trusted old* repair person and let them go through your amp, it should be a piece of cake. Old Sunns are about as straight forward as it gets in vintage MI amps.
*of course I jest; young people (including a guy that I use that makes very pretty solder joints; maybe even the prettiest solder joints) can be perfectly suitable tube amp techs.