Is it wrong to not come out to your partner?

I've been married to my husband and for ten years. We have three children. Our sexlife has always been a struggle because he has a very high sex drive and I have none. It's always been like that. We have discussed it so many times. He says sex is important to him, I say sex isn't important for me at all, but that I'm doing my best to compromise. I told him I will not change, because I can't and asked him to consider if this is something he can live with, because I can understand it being a deal breaker not getting enough intimacy, and he's always been adamant he wants to be with me.

I've been to doctors to make sure there's nothing wrong with me, and I've been to therapy for years to figure out what's wrong, and I'm starting to realise I'm actually asexual. I haven't fully accepted it yet, because it's hard. It's really hard. I've tried to come out to my husband, but he is super dismissive and just says that we can fix it, that I can be fixed. But I'm now sure there's nothing wrong with me, this is just who I am. I've stopped trying to come out to him (the way I've said it is :i think I'm asexual", "I'm pretty sure I'm asexual", because I haven't managed to just say that I am, because I haven't accepted it myself yet). Is it wrong for me to do that?

It doesn't really change anything if he believes it or not. I would love to be "fixed ". To learn to feel physical sexual attraction and to want and appreciate sex and intimacy, but I just don't. I'm indifferent to it. It's just a hassle to me. I've been honest with these types of feelings and like I said, he still wants to be with me. I'm not really sure if this is right though, I don't want him to think things can change when they will not, and I think after ten years he should realise that this is how it's going to be. I'll never want sex, I'll just do it for him. I'm okay with that, but it feels like he is just refusing to understand people can be different.

Everything else is great and I understand many people would leave, but I still love him and I want to be with him, as long as he still wants to be with me. As we have children together, we both really want to make it work as well. I've suggested counselling, but he said he thinks we should see a sex therapist. I said sure, but I really don't think that is going to help us, but who knows.