Au contraire, AGPL is used to scare away businesses that want to use software for free (and this is not bad… or good… but it is something). For consumers of the software, AGPL is mostly the best possible copyleft license, imo as well.
Not really. License has nothing to do with “eliciting trust” on deployment side. You’re probably thinking of “Remote attestations”.[1][2]
I mean, the choice of (source code) license matters in so far it does not prohibit code inspection (which none of the OSS-approved or FSF-blessed licenses do). Distribution license (which may be different to source code license like in the case of RHEL & VSCode, to give examples) matters less for FOSS…
Edit
If you (and your team, if you’ve got one) can afford enough time for such a project, and do have your own unique ideas to bring to the table, go ahead and build it! Literally no one (who is also building the “same” thing) is probably thinking of the feature set the way you might be / ought to, who knows.