If you play with a delay, then why would you need any more storage than what is required to play a single video?
Personally I would not pay any amount to Google, as I believe it is unethical to support such a company. Google has a monopoly in several markets, to the point of being an unavoidable part of our lives.
No single company should have that much power. Especially since due to its nature as a for-profit corporation, Google's interests are at odds with yours.