[KPGv2]

I don't think it implies such a thing:

definition "generous":

• (of a person) showing a readiness to give more of something, as money or time, than is strictly necessary or expected: she was generous with her money.

• showing kindness toward others: it was generous of them to ask her along.

• (of a thing) larger or more plentiful than is usual or necessary: a generous sprinkle of pepper.