Poor title or poor understanding of 'Lonely'. Lonely means the negative experience of being alone / longing for connection.

I guess better phrasing is 'Maybe men like solitude', or 'Maybe men like being alone'. 'Being lonely' is bad phrasing.

But more OT, I definitely need my 'me-time / alone time' to feel happy. I'd go crazy without that. Doesn't mean I want to always be alone, and I'm happy to be in a relationship. So by no means would I ever describe myself as 'lonely', even during the periods of time when I am alone.