Thanks for sharing all the details and screenshots. If the issue is still happening, please share an affected sample file, so we can test it on our end. Could you also confirm the exact version of Illustrator you're using and your operating system details? Since this started after moving to a new PC, try resetting Illustrator preferences once using the steps here: https://adobe.ly/3VWEO0r. You can also test by exporting the TIFF directly from Illustrator to see if the artwork stays in the correct position.
Let me know how it goes.
Abhishek