I'm not convinced the risk of job loss due to false accusations is negligible, but it's hard to see how actually trying to make friends with people would increase that risk.
It’s just a rough intuition/guess of mine. I tried to think about anyone I’ve heard of (in/near my social network) who’d lost a job due to any accusations at all. Two came to mind, both with smoking-gun evidence. Even if I knew five people who were dismissed on claims alone (which would still probably be a mix of true and false claims), that’d still put the fraction at well under one percent.