A pusher to me is somebody whose only weapon is consistency. No placement, no change up, no power, etc. On the pro tour, IMO, there are no true pushers. Certainly some guys rely more on consistency than others, but no pushers. Counterpunchers? Yes. Pushers? No.
I've never had a problem with guys are consistent but have no power. I just treat it like a practice session and make believe I'm being fed balls. Just hit corner to corner at 75% power. As they get further and further behind, look for the putaway. Against "pushers" it's good to have your volleys and overheads "on" that day. Just don't overhit and make silly errors. Pushers depend upon you mentally imploding. They feed off unforced errors and people mumbling to themselves. Don't fall for it. Don't hit too hard and just hit calmly corner to corner.