Personally, I'd love this. I always run the Import tool, jump to Recently Imported (I even set it as a Favorites item) and then tag the files, clean up the file properties, rename the file based on my criteria, run audio analysis, and then move the file to its permanent location.
I have Recently Imported set up to display only the tags I'm interested in:
Artist
Album
Name
Track #
Genre
Date
Lyrics
Bios
Comment (to make sure it's empty)
Image File
Bitrate (in case I download multiple copies of the same file, I can keep the one that's the highest quality)
Duration (to make sure the file's length is correct based on what I find on AMG)
and File Properties set to display only the columns in the current view. I click on the file, then click the Artist Info button, copy all of the relevant information out of AMG into the tag. Then I go search for lyrics. This has really streamlined the process I go through when importing files, and having Import take me right there just means two less clicks for me. I'd love it.