@NRB525 wrote:
Random question. With the Chase rule “only one Sapphire card at a time”, does the OP AU CSR preclude getting a CSP?
Not at all, contrary to the AskSebby video. DW got her CSP in November when she was an AU on mine (later upgraded to CSR). I'm an AU on her CSP and she's an AU on my CSR. Lots of other reports here, as well, with no one being turned down due to being an AU on another account. Also, adding an AU after getting the offer is a good way of getting another 15k bonus points (although keep in mind that the CSR has an AU fee). 
@NRB525 wrote:
Random question. With the Chase rule “only one Sapphire card at a time”, does the OP AU CSR preclude getting a CSP?
I'd get the CSP for the SUB and use it for a year. Then I would PC it to a FU and use that going forward if you are going to keep the CSR.
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@NRB525 wrote:
Random question. With the Chase rule “only one Sapphire card at a time”, does the OP AU CSR preclude getting a CSP?
It shouldn't but I think we have seen cases in the past where AUs have raised issues with Chase and phone calls had to be placed to sort it out. If OP wanted to act out of an abundance of caution they could get rid of the AU card before applying and then just be added back into it later I guess.