For example, I never liked Counter-Strike/Half-Life, and I wasn't interested in other shooters, but I took to Overwatch.

Same here. Although I'm not a fan of MOBAs either. I'm just unskilled and can't play normal shooters, but in Overwatch, I can just hold down the fire button on my M249 and win.
Also, you'll be able to play Overwatch when there are free weekends/free weeks, which happens quite often now. There will also be a discount around that time, so anyone who's interested can buy it.

Maybe someone played with Tox?

A year and a half ago, we played Overwatch with him until he left.

In general, if some people want to play, I'd be willing to play Dota or HotS. But I won't be able to play any of those games for the next week or two because I'm using mobile internet.