The comparison above was vendor-provided install scripts.
From my understanding, Flatpak provides sandboxing and asks the user to confirm exceptions, which if it works reliably does seem like I win something security-wise going from "go to vendor website, use their installation script" to "go to vendor website, get their flatpak thing, know that it can't totally screw my system without me granting it exceptions".
Parent claims it's only a usability benefit, so I'd like to know details about the problems with its sandboxing (totally willing to accept that they exist, sandboxing is tricky and not a cure-all)