
Flatpak is a distribution channel frequently used by Linux users, I preferably download apps from this package, in short, it's usually safer, as it supports installations without root privileges, this way.
However, when it comes to Bitcoin wallets, I always download them from the official website, for example: electrum.org, and install them via terminal and always check the signatures. However, as you can see in the image, electrum is available to be downloaded from Linux app store integrations, such as discover via flatpak, but both Electrum, Bitcoin Core and other wallets do not list or provide a redirect link to download the application via flathub, probably these flatpak packages are maintained by the community, but not officially endorsed or maintained by the original developers.
The great advantage of downloading apps via flatpak, snap, ppa, etc. is that I don't need to worry about updates, whenever there are updates, the system itself notifies me that updates are available and I can update in a few clicks. This practically doesn't exist in Windows, there are software that have automatic update checking, such as electrum, trezor suite, etc. but this was much worse a few years ago in windows' history, this concern doesn't exist in Linux (unless you install .deb or appimage packages, but even so, it is common for some apps to provide automatic update checking). I love Linux because of this.
The purpose of this post is: how can we be sure that these wallet apps like Electrum, Bitcoin core provided there are the same binary signed by the same project development team (hash, pgp signature) as the official website of these Apps? The same question applies to any software on any Linux distribution via Flatpak, snap, etc.
I haven't yet found reports that they are not official apps or that they are phishing apps, malware and that someone has been robbed. That's already a good sign.
Forgive me if I'm ignorant on this subject, I generally only use Linux to interact with Bitcoin.