I most often go by myself, but 3/4 of the time there are other shooters at the range either when I get there or before I leave, sometimes it's still an individual thing, other times it turns out 50/50 shooting/ social.
What really makes a group trip enjoyable, for me, is when I can wrangle one or two of my kids' friends into going along with me & son/ daughter. Have them call home so I can talk with a parent, explain where we're planning to go, what we'll do/ shoot, my qualifications (hunter ed, 4-H, NRA inst),how long.... On those trips it doesn't matter to me if I don't fire a shot, once I'm satisfied they can shoot on their own. Only one gun out at a time, ever. 'Specially rewarding to take a first-timer on one of these!!!
Down side of those solitary trips is the number of trips between truck/ bench and bench/ truck. But setting up and leaving on your own schedule has a lot to be said for it. (Leave the phone in truck w/ windows up....)