Standby power using a lithium cell
The kind of details you are asking about are not appropriate to get from general information like here or even from Battery University.  You need to talk to technical people from the company you will actually get the batteries from.

I was involved with the design of a battery backup system that could spend a few years just sitting there, then would have to cough up about 700 W on a few 10s of &micro;s notice.  We were in constant contact with engineers at the battery company, which in this case was A123.  It turns out that there are no hard limits and everything is a tradeoff.  However, the tradeoffs vary from product to product and certainly between manufacturers at the level of detail you are asking about.