This is not a coincidence, as G+ is modeled after
Disneyland's Maxpass. Disneyland had the legacy paper fastpass system you described. Disneyland then added Maxpass, where you paid $20 to be able to book fastpasses on your phone. They ran Maxpass and paper fastpasses at the same time. No limit, and refreshing worked great. The best thing about Maxpass is that no one paid for it. Why pay for something you still got for free right? But it was the refreshing that made Maxpass so worth it. I could refresh while the paper ticket users could not. I got so many immediate return times, it was unheard of. Used it the day after Christmas and didn't wait in a single line. It was so awesome and so worth the money. Evidently Disney thought it was so awesome as well, they scrapped both coast's fastpass sytems, and introduced G+. But it's just a reskin of Maxpass with the restriction you can only book an attraction once per day. Disneyland veterans were already prepared for the change.