That's what's been said about the topic, gathered from here and the FAQ
"Content will not be merged from a permanently banned account, so in this situation they'd just have their PlayStation content migrated. It wouldn't auto-ban a different platform." So basically you would just have the unbanned account and the banned account will have absolutely no effect on the other one. "
"Cross Progression itself will not remove an existing ban on accounts, nor will it cause an account to be automatically banned."
"If the PC has an active ban on it then you will not be able to log in from there. your console is still safe and the account merge will not affect it"
"If your PC account has been banned, it won't be involved in the Cross Progression merge at all. If you have a connected Xbox account on the same EA account, you'll be able to continue playing there or on other connected platforms, but no content would be brought over or available on PC as that PC account would remain banned."
"Content from accounts that have been permanently banned will not be migrated with Cross Progression"
"Banned accounts are not eligible for merging (Cross-progression), ....Only accounts in good standing will be merged."
"If you've been playing on PlayStation you'll be able to continue playing after the Cross Progression migration, unless there are any new actions placed on the account at that point."
"If you have a PC/Steam account and an Xbox account both connected to the same EA account and the PC account has been banned, the Cross Progression migration will not remove the PC ban, or merge progress/content from the banned account.
This will result in your Xbox account being the primary account in this case, and if for example you linked a PlayStation or Nintendo Switch to the same EA account later on, you'd be able to access the Xbox content on those platforms as well. Your PC ban would still remain in effect, however, so you wouldn't be able to access this from PC while playing on this particular EA account."
"If there's a ban on the account, then it won't be taken into consideration for the merge process"