Guild Wars 2

My guild runs in tPVP (the free ones) for fun. We are not awesome at it, in fact we have not won the 3rd match yet. I have noticed that we do not earn any influence when we are in tPVP but we do when we are in the other sPVP games. Is this a bug?

We play in tPVP because it is the only way we can play as a team, when we go into the other sPVP games it splits us up. If this is a bug, could someone fix it? If it is not a bug, could someone explain why playing with my guild is punished in sPVP by splitting us up and gaining less influence because of it or by giving us none when we go into tournaments?

The guild is small, we need influence, please help us out.

This a bug or is it intended to be difficult to earn influence in sPvP due to not being able to stay on the same team as your guild or earning zero in tPvP?