OP, I was in just the same position as you. I kept an open mind as my eldest was very sociable and I thought she might possibly enjoy nursery for a few sessions a week.
One thing which surprised and dismayed me was how suddenly her toddler group friendships evaporated when all the others went off to nursery. I had expected we'd be able to keep those going. But I think once the children had started nursery they were too busy and maybe were having their social needs met there, plus their parents perhaps stopped prioritising playdates because they figured their children had enough opportunity to play at nursery already anyway.
For this reason my child found herself quite lonely, the eldest at toddler groups by an increasing margin, with her former friends now unavailable. This is why she was eager to try nursery. She tried it and liked it a bit, but soon decided not to continue. I asked her every morning whether she wanted to go, and she went less and less often until she had stopped altogether. (Interestingly, despite being a very chatty child, she was unable to articulate until much later what she had disliked about it.) Eventually she made friends with other home educated kids and things improved.
With my younger child there was never any issue whatsoever, as we were well settled into home ed by the time she was born. She'd grown up in a community of children and had plenty of kids on hand from day one. That was lovely for her.
If I had it to do over again, I would have worked harder when my firstborn was tiny to establish friendships with other families where the children might not necessarily be going to nursery or school. It would have avoided that bumpy patch which might have driven her to nursery or school in desperation for friends. So that would be my advice to you: if you aren't already going along to some home ed groups, you might consider starting with that soonish.