apt is probably not the best fit for that, as a lot of its codebase would be unused in the case of statically built binaries.
I think you should rather work on a new packages manager (that could rely on apt libraries) with no dependencies management, that would allow it to be quicker than apt thanks to the reduced scope. Once you have a first proof of concept ready, then it would probably be a better time to try and push in favour of your suggestion. --- Disclaimer: I would not use such statically built binaries, as it goes against what I am looking for in a software distribution like Debian.
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