send a PDF from one device . . . . the recipient was able to select which app opened the file. My experience with iOS 17 is that the recipient is not offered a choice. PDF files are automatically sent to the Files app, i.e., iCloud Drive.
When you open a PDF file on your iPhone and/or Mac, that file will automatically open regardless of where it is saved.
You do not need / have to select which program you want to open that file with.
If you want to edit a PDF file, click on that file and 'open with'. . . . . (on Mac, if you have a PDF editor program).
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PDF files are automatically sent to the Files app, i.e., iCloud Drive.
Where do you want to save those PDF files?
Files app is a program where files are stored, even if you send a doc file (as far as I know).
Maybe I misunderstand you. . .
I've never seen the option to select / choose where to save a file.