Yes, if one channel get is banned other channels related to it by any means also get affected.
For example if you are using one gmail id to manage all the channels, or as in your case, you are using same Adsense account to monetize all channels. You should immediately switch to other adsense account to be safe and sure about other channels. Otherwise they will get affected if not banned. (Affected means their traffic will be reduced, subscribers count will be lowered, etc.)
Youtube never tells everything in their terms and conditions page but their system is interconnected. So they work accordingly. As a creator, we can only take precautions.