Only to a point.
For these streaming services to work, you really gotta have the data center within 1000 miles of you. If they only have a service in say, California, and you're on the east coast, well...even a round trip at the speed of light is about 30-35 ms. Add in the fact that electricity doesn't actually travel at the speed of light, processing time for routers, and delays for video compression/decompression, and you're looking at at least 60 ms delay on inputs that probably can't possibly be reduced.
In Utah I get traffic routed through Denver and a few other states east of me before hitting certain servers hosted in California.
Unless Google has figured out a way to increase the speed of light, I don't think this new service is really going to change my mind about buying dedicated hardware to play games.