IWSG - Writing is Lonely

Sometimes I am struck by how lonely my life as a writer is. My main social outlet is work (at least I work with really cool people). I work a standard M-F job that is quite hectic and stressful. After work I come home and spend time with my husband and daughter. My weekends are also dedicated to my husband and daughter.

I guess what I'm getting at is that the little free time I have is spent writing. I have opportunities to be social, but they cut into writing time, and I generally choose writing over social activities. My lonliness is completely self-imposed, yet I can't seem to give up my precious writing time.

I'm by nature a very social person. I'm the type of person that loves to go to a party and strike up conversations with complete strangers. I love meeting new people. Does anyone else feel like writing is a lonely passion? Or do other writers generally like solitude?