Usually one of them gets pressured into being the aggressor and consequently becomes the victim of the other's superior pushing.
A lot of pushers actually don't know how to hit hard. Like they physically don't have the technique or the mindset or the experience to do it properly. If you can bait them into trying to attack a lot of times they'll start giving you errors.
I hate playing counter puncers. It's a valid style just as much as agressive baseliner is.
I know someone who is not at my level experience wise or even technique (I even help him with some of his topspin technique he struggles with) etc, but due to his pusher style I'd lose to him more often than not in singles. Even if he uses the wrong physical technique. He would revert to strokes that work for him such as slice.
I have beaten him the last time we played and it's not easy tactically. In doubles I generally destroy him no matter his partner. Singles is a whole other ball game. He would however do worse against players I would do better against. So matchup is definitely a factor. Also he knows my weaknesses and I struggle to take advantage of his.
The last time we played, I really needed to be on form. If it wasn't for his weak serve and my big return, I'd have lost. Everything else he gets back comfortably although quite weak. But it's back in play to just make a mistake more than he does. I'm not great with the first volley and going to the net movement wise. Nor is my overhead what it used to be. So lots of the points had to be from the back.
From my side, I'm normally very agressive, but with this dude I have to be much more patient and slow it down a little and really wait for an advantage. Very demanding.
Another thing that makes him tough, is that even though he has lack of pace, he is great at approaching the net. He comes in on low slices (backhand or forehand). His volleys and overheads are decent. At least I had a good lob and passing shots. It helps that he's not the shortest either.
Generally I fear this player. If it weren't for my strong serves and returns, I'd kinda have nothing because even great groundstrokes means nothing to this guy. I just hope his serve doesn't improve too much against me in the future.