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Hello and thank you for your question,Was this repair done to correct the code P0741 back in 2010?
Toyota released a service bulletin back the that dealt with the code P0741 which did call for replacing the ECM . The part number you have listed is not in the bulletin which means either your part number is ***** or they did not replace it with the correct one or it was updated. I have enclosed the bulletin in the link below, copy and paste it to your browser to open and view it. Take a look at the parts listing and you will see the part number you have listed is not on the list.https://dl.dropboxusercontent.com/u/104923897/Toy%20TSB%20Jan%2028.pdf
As long as the transmission is not failing then I would say yes. Its going to be up to them. They should have all the records on file to what was actually done.
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