The problem with that logic is I don't like playing on our servers. I don't like the game mode. It doesn't seem to be an uncommon opinion. It's not about the number of servers, it's about the servers we have. Let's do a quick breakdown.
If you want to play:
Normal Conquest we have 3 servers
Normal Obliteration we have 0 servers
Normal Domination we have 0 servers
Normal Rush we have 0 servers
Normal Deathmatch we have 0 servers
Hardcore Conquest we have 0 servers
Hardcore Obliteration we have 0 servers
Hardcore Domination we have 0 servers
Hardcore Rush we have 0 servers
Hardcore Deathmatch we have 0 servers
You can see that there are plenty of opportunities to expand our horizons. I play normal conquest here and there, but the vast majority of times I log in it's to play something else. Therefore, the vast majority of the time I'm not on eGO servers. When I am on our servers the incentive to recruit is very small because I'll be recruiting people that play normal conquest which I don't like, so I won't ever play with them anyways.
I've resigned myself to the fact that I just don't get to play with eGO guys when I'm playing BF4. I just don't like it much. My other option is to play a game that isn't very fun to me just so that I can play on our servers, in which case I find myself just playing other games.