I can confirm that your SWTOR account is linked to an Origin account.
I had trouble with hackers and my PSN account last year,that got sorted, but what we didn't realise is that they'd linked my PSN account to, what I thought was an obsolete, Origin account.
This had to be deleted.
While the cs rep said any games that were linked to the account would be lost, no-where in that account did it say my SWTOR account was linked. In fact there were no games in the games list at all.
One deleted Origin account later, on 3year old SWTOR account with all the pre-order, CE, Founder and sub perks that went with it are now lost to the void.
Whatever you do, DO NOT delete your Origin account if there's any doubt at all that it is linked to Origin, if it has the same email address it is linked whether or not it shows up in the games list.