Can that relay come apart?
Take pictures!
655-JWD-171-28 unavailable
655-JWD-171-24 is - all they have is one, with a 2 week lead time.
528-171-28 seems to be a replacement, that is stocked at greater quantity.
salient search terms: " Reed Relays DIP 24VDC DPST-NO "
It work's in "Defeat" but not with the switch in "Tone"? I think that's was the first issue.
I was getting confused when you mentioned "It gets better after a warm-up". Wether that was the first issue or the relay issue.
Check all your ground points for excessively high resistance. If necessary clean them with some vinegar and a stiff brush. Rinse with a cloth soaked in plain water and dry completely. Hair dryer works well for this after wiping the excess up. Then check them again with meter.