I think I'm in a similar state as you. I loved living alone. Then I got married and had kids, so now I have three roommates, two of which frequently need interaction/help/etc. I
crave solitude. The most blissful vacation I can imagine is just being alone in a cabin on a lake sitting coffee and reading. I spent two days driving to see the 2016 eclipse and living in my truck alone and it was absolute bliss.
At the same time, I find it easy to project that desire too far. I get less solitude than I would like now, so I feel that need, but I definitely don't want infinite solitude. While I liked living alone, I also remember getting quite lonely at times. It's easy for me to take for granted my social needs because they are being (more than) met right now.
One thing I do find a real challenge is a life that feels both socially full and shallow. With all of the tasks of being a full-time employee and parent today, my social calendar fills up quickly. I can really only see a couple of people a week. Kid birthday parties and other events like that overwhelm it. Because my kids are constantly making new friends, there is this parade of parents that enter and recede from my life. They're all nice people, but over time it gets harder to invest effort into friendship with them because I only see any given one of them every couple of months and even that may fade if our kids stop being friends. Not quite the "single serving friends" of Fight Club, but close.
At the same time, it's hard for me to maintain my own independent friendships on top of those acquaintances because there just isn't that much time. If I've already got a birthday party on Saturday and a playdate on Sunday, it's really hard to enjoy another social activity with my own friends on top of that. Even with people I consider close friends, I sometimes only see them once every couple of months.
I try to be mindful that this phase won't last forever. As my kids get older, they'll do more drop-off parties and eventually will get to their own social functions without me at all. They'll want less of my time until one day I'll wake up and the nest will be empty. I try to enjoy this time for what it is while it lasts.
My biggest worry is that by the time the kids are older and I have more room for my own close friends, those bonds will have withered along with my skills at socializing and I'll fail to reinvigorate them.