I don't do MO returns, but what do you mean by "promptly"?  A lot of states and the IRS can take quite a bit of time before the payment clears the bank.

Federal payments submitted electronically using ProSeries are usually completed the same day or one day later.   

Clients/taxpayers are getting NO action from the MDOR 7 days after electronic filing.    So something is slowing this process down.

Your reference to the post includes the comment "clears the bank" which indicates a paper filed/mailed check.  Mailed checks can take up to 2 to 3 weeks to get posted.  

No, clears the bank means the date the bank processes the payment whether the payment is electronic or paper.  For the record, 7 days isn't a huge delay in processing.