I have been doing signings since 2007 and I work mainly with title companies so I am very knowledgeable about how they work. Unfortunately what you stated is not always the case nor correct.
In this instance this was a simultaneous seller and cash buyer closing, both parties were at the table and I signed them both at the same time. The buyer had already wired funds to the title company, I scanned the documents back to the title company and the transaction funded and closed that day. The escrow officer and realtor both communicated to me that the transaction funded that day and thanked me for helping them out with this transaction (it was a last minute closing request).
Also, title companies do not HAVE to wait until the close of escrow to pay a notary signing agent. IF the NSA fee is listed on the settlement statement to be paid by one of the parties in the transaction (buyer, seller, title, lender etc) then usually our check won't get cut until the transaction closes. HOWEVER, we should and can get paid whether escrow closes or not, and the title company does have a way to pay us out of their funds if the transaction does not close.
If the NSA fee is not listed on the settlement statement that means that the title company is paying the fee separately, and again, this fee can be paid at any time. A lot of times if the NSA fee is not listed on the settlement statement that means that the title company is taking a loss on the transaction so they may drag their feet about paying.
This title company showed me no respect at all. I was well aware that the transaction was funded the day I completed the signing, I did them a courtesy by giving them 30 days to pay me. The title company then ignored my emails and phone calls to check on the status of payment and only responded to me after I let them know that I would report them for non-payment.
Bottom line, there is no reason why a title company can't pay within 30 days. They may not like to do it, but it is possible, we don't have to wait 30, 60, 90 or more days to get paid, whether or not a transaction closes and funds.