I have a 4 year established (150g) tank. When starting it, I quarantined fish with copper for a month (at separate times) and then moved them in. These were a yellow tang, Desjardin's tang, 2 pajama cardinals, snowflake clown, one-spot foxface, matted file fish, Klein's butterfly, lawnmower blennie, orange spot goby, 2 green chromis and 6 Springeri damsels.
Since then (mostly over the past 8 months), I have added a copperbanded butterly directly to the tank with drip acclimation but no quarantine whatsoever (it survived and is thriving), an Achilles tang quarantined for a month without meds, a powder blue tang quarantined for a month without meds, a pair of pintail fairy wrasses, a mystery wrasse and a Lineatus wrasse - one month quarantine without meds (other than 2 rounds of Praziquantel), 2 rainbow bassletts with a month quarantine without meds.
No signs of ich or other distress and the tangs are fat and happy. They get 2 sheets of nori per day and eat it voraciously. I have definitely lost fish in quarantine (some bluestar wrasses and a small yellow tang) , but none that made it for a month caused any trouble in my tanks. I had a potter's wrasse do well in quarantine, but after putting it in my display tank I have never seen it again.
I have since gotten another copperband and plunked it directly into my frag tank (after drip acclimation) where it is thriving, along with another lawnmower blennie.
I am not saying that you should do as I did, but having an existing, thriving tank is not a guarantee that new fish added to the tank will get ick. Ick may well be in the tank, but if fish are not stressed, then you may never see evidence of it...