While I don't have a canonical answer to this question, I can share a couple of similar experiences. I've had this happen a few times whenever we vacate an apartment after the completion of our lease, the landlord would typically refund the security deposit back to us with a certified check made out to both me and my wife. Since I put down the deposit, I would just cash the check into my own account with mobile deposit and never had any issues with it.
This last time since we've moved out of the US, the check was mailed to my sister and instead of her forwarding that via international mail, I asked her to deposit the check in her account, which she did with mobile deposit. The check cleared promptly and she e-transferred the funds to us.
Based on my observations and some reading into the check clearing process, this is mostly automated with very little human intervention. Banks don't verify signatures or anything else either. The problems only arise when accounts don't have adequate balance or the checks are fraudulent. Upon a transaction being reversed humans get involved. So I think in your case you should be absolutely fine, even in the case that the bank flagged the transaction, you wouldn't be out of the money. It would just be a little more hassle.