I don’t think it is a size quota that is the problem, but a frequency one. Google has certain limits on your account, like how many times you can read/write to your account, or the number of contacts you can create in a day etc. Developers usually build these limits into their applications so you don’t exceed them. They are all per day limits, so once they appear, they will continue until the next day when the count is reset.
Hopefully someone with a bit more technical knowledge will be able to comment further on this.