Hey AllenGrey,
I think I understand what the customers is saying, but better checking twice and take this with a grain of salt 
With AudioJungle a customer gets the sync license; if he wants to use the track on tv, he needs a broadcast sync license.
But he doesn’t get the performance right. The broadcaster usually gets the rights to broadcast by paying yearly fixed fees to each PRO to be able to use all the music he needs.
Look at the Envato FAQ:
Do I need to pay a performing rights organization (P.R.O.) if my end product containing AudioJungle music is publicly performed or broadcast?
For the vast majority of buyers and end uses, typically no, you shouldn’t need to worry about any additional performing rights fees.
Maybe this is the small minority where your customer is the broadcaster himself?
If I remember correctly, BMI members have two choices:
- Tell the customer who needs a performance license to contact BMI, which will sell him the license.
- Sell the license directly to the customer for the amount of money you feel right to you.
In the first case you will sooner or later get your royalties from BMI. In the second case you won’t ever get those royalties because you already got the money (and emailed about this in a timely fashion to BMI, of course).
Again I’m going by memory now, but looks like it’s your case. Please do a bit of research and talk to your PRO before taking any step.
Once this is confirmed, I would ask your customer how often he will perform the music, so you can have an idea of how much charging for the performance buyout.