Can a narc say sorry and mean it?

This month marks a year since I went no contact with my narcopath dad, an ex pastor who at one point put a loaded gun to my head for not listening to him (and I was considered the golden child.) He was a really evil man at times, and my mom, little sisters and I lived in constant fear, walking on eggshells for the time he lived with us. My mom was a major enabler, and completely ignored my sexual abuse in case it would anger my dad. His mood dictated how each day in our house went. He was also very weird with me and behaved as if I were his girlfriend. My mom hated me because he loved me more.

Anyways, both of my sisters still talk to him (which I find baffling considering he literally attempted to put a curse on one of them and disowned her) So does my mom despite being cheated on for all 20 years of marriage.

Yesterday my mom handed me a letter that he’d sent to me, since I have him blocked on everything. I probably wouldn’t have opened it, but I chose to because why not get some entertainment. The letter included things like him begging for forgiveness, saying that he’s my first love and that he cannot live without me in his life. I’m his heartbeat and he’s sorry he wasn’t the dad I needed. My mom ate this up, but I still don’t believe it.

I guess I say all of this to ask you guys if any of your narc parents have tried to say “sorry” in their own way? Or beg for you to allow them back in? The thing is, he’s a liar and a sick person, but I know saying sorry is huge for someone like him. On the other end, there was no accountability in the letter. Like, sorry for what? Do you regret breaking us down? Calling me a whore? Cheating on my mom in our own home? At the church? Putting a gun to my head and threatening to kill me and then asking me to kill you? Beating me with a belt at 16 years old for getting caught vaping LOL. At this point, I just want an admission. “Yes, I’m a sadist and a sociopathic narc who can’t feel remorse. But in my own way, I love you my golden child. My heartbeat.” But I know that’ll never happen.

Sorry for the long winded rant, but my mom and sisters think I should write him back. Am I crazy?