Not sure why Schrader valves would be any more or less difficult to put a pump on. Basically both systems are just compressing a rubber ring around a threaded tube. Seems like a poorly engineered pump if it is spec'd to work on a Schrader valve but doesn't.
I just run everything Shrader... I have schrader in my shop, on my car compressor, and just about everwhere else on earth that has under 300 psi. I drill out my MTB rims and keep an adapter on my road bike. Reduces much frustration dealing with niche market pumps.