There have been several times at gymnastics meets where there is only 1 or 2 girls from a team in a session that were rotating with our girls.Heck, I'd take it even further and ask to clap and cheer for all the gymnasts. It's hard!
In our regular meets, after march in and all that entails, the teams are encouraged to do their team cheers (one team at a time). If we are rotating with a team of 1 or 2, our girls and coaches will do their team cheer with them and they can (if they want) can do out team cheer with our girls.
One year at Y Nationals, OG was the only Xcel Gold from out team competing. There was another gym that also only had 1 girl competing that session ... and she had the SAME NAME as OG's older sister. They had a good time hanging out while waiting for their turns.
I cheer for all gymnasts ... and as long as they aren't in the same level and age group as my girls, if I see gymnasts I know from other teams before it all starts, I tell them I hope they win.