The desktop version of Google maps polls your location every few seconds, so that it follows your position. The button is an on-off switch. Maybe that would help?
It could also solve the accuracy problem (I'm speculating here); during the first poll, accuracy may not yet be very good, perhaps it has only had a network position, so updating would be useful.

Edit: By the way, if I search for Pizza after zooming to my current location in Holland, I get a nice place in San Francisco as a result