After this thread was posted, I thought back to why I've started to use F-Droid in the first place. F-Droid, and open source software in general, was never meant for security. The only security benefit of open source software per se is that the users are allowed to not depend on the software author's trustworthiness. Note that this is different from not depending on their trustworthiness, it's being allowed to not depend. One of the beneficial goals of F-Droid was also to gather open source apps that may not be entirely freedom-respecting, and either strip them of the freedom-disrespecting parts and/or mark them appropriately. This was supposed to be for the benefit of freedom, not for security. Furthermore, the idea that F-Droid should responsibly build and distribute the apps they offer, including enabling reproducible builds, is not supposed to be a security benefit of F-Droid, it's a basic responsibility that they willingly don't fulfill.
I like the idea that there's a catalog of freedom and privacy-respecting open source apps and that someone curates based on their quality and security, but while F-Droid does have some high-quality apps, they're neither curated as aforementioned, nor built and distributed responsibly.
There's also the argument that the fact that F-Droid signs the apps using their own keys adds an additional point of failure — I understand the argument but personally I might not have a problem trusting an additional party, if they were acting responsibly. F-Droid clearly doesn't. And the apps they sign themselves hijack the package name, which prevents the ability to have both the original version and the F-Droid version side-by-side, and prevents easily migrating data to leave the F-Droid versions of apps.
So can people please stop saying that they want F-Droid for better security?