I also tried it, because I really wanted to know...

It was Cup first and second leg, both teams were in both games exactly the same.
His team was 5% better than mine.

First leg, I won away 0:2 - counter on. SoT were 4:9, possession 37%/63%, passes completed 81% : 90%

Second leg, I won at home 4:0 - counter off. SoT were 9:3, possession 63%/37%, passes completed 92% : 81%

Yeah, I won at home higher, but the stats are nearly the same... so counter doesn't matter in that case?