This was more Apple's doing rather than Valve's.
Valve wanted steam to co-exist on the mac in the early days and John Sculley of Apple didn't want Apple to be seen as a gaming device or a "personal home computer". So they ceased contact with Valve and the rest is history. https://www.youtube.com/watch?v=lPTLPXNtb2I
Apple refused to license joysticks so they could prevent customers from considering early mac's as game machines and deliberately refused to support games on the machine. Myst was only few that were exclusive to the Mac; that they then ported to PC.
Apple is so obsessed with how their product is marketed and perceived that they all but eliminated gaming on the platform. It's hard to argue that it hasn't been effective, but I'll never understand why people accept that the people who make the computer should decide how you use it.
Your timeline doesn't make sense. Steam launched in 2003. Scully was forced out of Apple in 1993.