Hacked and Banned.

Do keep in mind that you are responsible for what happens to and on your account, so if your account does get hacked, EA may still enforce their policy, despite you not directly being the one who cheated.

I certainly get that this isn't exactly a fun situation, and that's likely easy for me to say because I'm not in that situation.
Though I don't think EA completely wrong on this end. Assuming everyone would not take their account security seriously, this could result in a lot of compromised accounts, and users just hacking. Even if it wasn't you that caused harm, your account was used to do harm.

Those account holders must be stimulated to take it more seriously; of course one could say that they shouldn't permaban those who got hacked and had users cheat on their account. But that's pretty much to their discretion, I personally wouldn't hold it against them for not wanting cheaters to go rampant through their game. (And cheater presence is already quite strong)

And there isn't exactly a great framework of trust to work with either. In a lot of cases users actually let others cheat on their account to have their level, rank or statistics boosted. Not saying that did happen, but there isn't a lot of trust to work with the 'I was hacked', and they seem to be quite strict about their users taking care of their account.

In the end it eventually comes down to case by case reviews of those who look into bans, which would be the ToS team.
But I don't think it's without reason really.