There are lots of different possibilities to the "too busy" situation.
I know that for awhile, I was socializing constantly & not taking care of all the work I needed to do on my home & on my farm. By the time I got home from socializing I was too tired to take care of what I had to do. I finally got to the point where I had to be "too busy" so I can now do he things I have to do.
I had another time when I was younger when a person was almost clinging to my friendship & if felt like they were giving me "no space". I wasn't good at just coming out & setting my boundaries......so used the "too busy" in hopes the person would get the idea on their own without taking the chance of hurting their feelings in a worse way by confronting them with the boundaries I felt were being crossed.
I know how important it is to have people who care around you. I grew up as an only child, I never was part of a group of friends, but I did have one close friend who we did a lot together & we called & talked on the phone all the time, but as we grew up & we had our college studies & started having so many other things involved in our lives, what was normal changed to a new normal......then I got married, graduated, got my career, & my whole life revolved around that. Had some friends, but nothing that I would consider close & definitely nothing that went back to the kind of friendship I had when I was young. That transition can be difficult for some......it just felt normal for me. Hope you can come to a new sense of normal for yourself.