We've talked about things in this area, but this particular framing is pretty interesting. We're talking about it now.
I personally like this proposal and am probably going to at least draft a hypothetical spec of it and see how it fleshes out. Thanks for the suggestion!
It's unbelievable that nobody has done this well - I and most people I know are tracking their own job searches on a spreadsheet.
Pretty obvious value-add for job searchers. Not to mention that having access to this data would enable tons of other product features. Shows that most services/sites don't care that much about the applicant experience.
If you're interested in comparing notes, I'd love to hop on a call with you. (We've got some bookable slots linked at the bottom of the blog post, but I can make time elsewhere if you'd like.)