OP, the problem with loneliness (in my experience, as I have suffered from it too) is that we crave an instant end to it/cure or solution for it, but actually the cures take a long time.
The love yourself advice really is (was for me) a massive step in the right direction. The more kind, compassionate, accepting we are with ourselves, the easier it is to be alone, but also, ironically, the easier company we are for others, so the more they seek our company. It's a win-win.
People can sense loneliness and it puts them off. They are scared they'll get trapped in an intense or demanding needy friendship that drains or obligates them. And they feel a bit affronted that the lonely person would latch onto anyone, just to have a friend, so they don't feel very special. (That was my mistake - too friendly with everyone then wondered why no one wanted to be my friend!)
Something I have noticed over the years is that ND people get on way better with other ND people. We just do. Almost all my close friends are either autistic or ADHD. I have realised I feel a bit on edge with a lot of neurotypical people. So it might be worth your while trying to cultivate other ND friends. Look for any ND support groups in your area or ND parenting groups. Or dare to start one up.
DS2 is autistic and mentions this on dating sites. It attracts other ND people - they meet for coffee. He says he uses the site to make friends as much as to have dates (though he has had luck romantically too.) You could try this. There are online friendship sites. You could say something simple like 'autistic single mum seeks similar for friendship and companionship in local area. Likes XYZ. List a few things you enjoy so you attract people with similar interests. You could do the same for new relationships. Just say you are ND and open to meeting ND men. Chat first for a week or two then arrange to meet for daytime coffee.
Another thing I learned, which took me years and now seems so important to me, is that shallow friendships are as valuable as deep ones. I used to only want friends I could have deep heart to hearts with. Now I am also appreciative of friends who join me to see a film or go to a fitness class but say little except 'Hi' and 'Bye'. It's a very light connection, not a deep one, but it is still companionship. Maybe try to cultivate some intentionally shallow connections - go to a fitness or craft class even if you can only attend every other week. Think of it as mingling rather than closeness.
And use MN. That is why it is here and why some of us have been here for many years. If you need someone to comfort you after a tough day, or to say, "Well done' when you achieve something - tell us. There are many lovely, caring people on this site.