If anyone tells you that your version of submission is wrong, you know they haven't a clue.
Submission, and all it entails is exactly what the two people involved say it is. So if one person views it as the porno version, and lives it. Good for them. If another views submission as making sure to wear the right socks for someone, and that's all it includes, then that is submission for them. There are no right or wrong answers. Those that say there are, are wrong.
So if how you and your partner are doing D/s M/s S&M B&D or any other combination, and it makes you happy. Then what anyone else says shouldn't matter.