That's still 6 hours left. It's pretty easy to find some socialization time in there unless you're taking 4 hour long showers.
This isn't just theoretical, _clearly_ many people socialize in the evenings.
Doing the hard math and saying I have 6 hours is just theoretical. _Many_ people may socialize in the evenings, but I'd be surprised _most_ do.
It might not come for free, but you can make it happen if you actually want it to happen.
Replace all food at home with Huel. No more cooking, no more cleaning, no more shopping (no more driving to stores), no more wondering if you can go out for dinner or if food will spoil.
Make sure all your clothes can be washed together (either all tones of grey, or all colours). Make sure all your socks are the same. Do washing once a week on a weekend.
Move closer to your office to eliminate commute. You don't cook anymore, so can get a place without a good kitchen for cheap.
Suddenly you have infinite time. For what it's worth, I would socialize with people from work (and ex-coworkers) after work. 5pm, off to the pub or a restaurant. Then walk home since I'd live near the office which would be near the pub/restaurant (since we are going after work).
Oh dear, you've already lost me.
You may have 6 hours of time left, but that doesn't mean you have 6 hours of energy reserves left to socialize or otherwise. (Clearly many people spend their evenings in low effort activities like watching TV on weeknights, too.)