Cash Deposit, details do not match

I have a similar occasion.

My offer to sell BTC was accepted today. The buyer made the deposit and I can see it in my account. The reference is correct, but I cannot check the name of the account from which the deposit was made (or the name of the account holder from which the deposit was made). The only transaction detail I can see is the reference.

Since the deposit seems valid, why should I open a dispute? I still have almost four days remaining time and I intend to wait until tomorrow before I verify the deposit just to be sure that there aren’t any nasty surprises.