IMHO, this would lead over some extensive time to a premature aging of the part.Hi Davey,
It seems to me to be self-evident that there must be **some** power level, other than zero, below which continuous application of that power to a tweeter will not significantly affect its longevity. Assuming, of course, that the frequency content of that power is within the tweeter’s rated bandwidth.
Based on the assumption I stated earlier, that the hiss level the OP described corresponds to an SPL of 40 db at 1 meter (and I would feel pretty certain that the actual number is much less than that), and based on the specified parameters for the tweeter I used as an example (which is used in a small stand-mounted speaker), it would mean that the tweeter is being driven by one five-millionth of its rated power handling capability.
Given the assumption that there is **some** power level, other than zero, below which continuous application to a tweeter will not significantly affect its longevity, it seems to me to be a very safe assumption that one five-millionth of rated power handling capability is small enough. And again, the actual number in this case is probably much less than that.
Regards,
-- Al