No, clownfish are actually very prone to velvet (Amyloodinium). It is unfortunate that we call it velvet, since there is a freshwater disease by that name, caused by a different parasite that looks different (dust like).
Marine velvet often just shows as rapid breathing and hovering in the water flow.
I misunderstood perhaps - I thought the two videos you posted were of your two different fish, they were the same fish? Both of those fish were breathing fast. Velvet is very contagious - if your second fish is NOT breathing fast, then this likely is not velvet.
Clownfish often fight when introduced and they don't get "lonely". I would not add a new fish for 45 days, and then, consider not getting another clown, in order to avoid fighting.
Jay