I'll have to test to be sure you still get streaming. It depends how the browsers handle xhr2 events with regard to gzip'd http. I /think/ it'll be fine but I need to check to be sure. Eg, with gzip on you still get progressive html rendering.
Gzip is a streaming format -- it's designed as a compressed format for communication streams. Browsers have no trouble with this. The Apache behavior you describe is probably related to buffering settings, which I think can be configured.