F-Droid doesn't provide most modern open source apps in their official repository. A huge portion of the apps it does have are completely abandoned or very poorly maintained. A huge portion fail to meet important privacy and security standards which even the very lenient Play Store implements such as a target API level requirement. It's a poor way of showing off the open source app ecosystem for Android. It provides most apps which come from particular parts of the open source community, but with delayed updates and often problematic changes including introducing security vulnerabilities via downgraded dependencies.
It's their own builds on their own infrastructure, almost entirely with their own signing keys except the small portion they use their problematic reproducible builds system. That system locks in using a problematic legacy build environment and will result in even more significantly delayed updates due to how they set it up. They make some minor, undocumented and often quite problematic changes to strip out functionality depending on Play services, etc. They certainly don't systemically update library dependencies or anything like that. They often actually downgrade dependencies. They've consistently introduced serious vulnerabilities to apps through using legacy tools, SDK, libraries, etc.
Simply building a similar kind of system following security best practices, not reusing app ids, not using a bunch of legacy software but still redoing the builds like a traditional Linux distribution be far better. There are massive problems with both their approach and implementation.
We don't consider F-Droid to be a trustworthy source of apps at all. They consistently disregard security and actively take anti-security positions. They don't care about or follow best practices for Android or security. They put on a show with the near useless shallow audits. They fundamentally don't understand or care about it.. They also consistently engage in cover ups, misdirection and misinformation as tactics to deal with security vulnerabilities and deep security design flaws throughout the software.
Several F-Droid core developers supported Copperhead's 2018 takeover attempt on GrapheneOS and then supported Copperhead's attacks over the following years. They moved on to engaging in spreading fabricated stories about our team themselves with the goal of directing harassment towards us. They supported extreme harassment from others. Nothing was done about their project members baselessly calling one of our team members insane, schizophrenic, delusional, etc. across a bunch of chat rooms and elsewhere. They made up fabricated stories about that too. It reflects on the lack of character of the overall F-Droid team. Why should GrapheneOS users trust people engaging in such underhanded tactics with the critical role of building and signing most of their apps? It's never something our community is going to broadly support even aside from the technical issues. Technical issues could theoretically be fixed (although there's no sign of much changing) but it's still not going to be run by trustworthy people.