As a legitimate developer developing an app with the power to take over the phone, I think it's appropriate to ask you to verify your identity. It should be an affordable one-time verification process.

This should not be required for apps that do HTTPS requests and store app-local data, like 99%+ of all apps, including 99% of F-Droid apps.

But, in my opinion, the benefit of anonymity to you is much smaller than the harm of anonymous malware authors coaching/coercing users to install phone-takeover apps.

(I'm sure you and I won't agree about this; I bet you have a principled stand that you should be able to anonymously distribute malware phone-takeover apps because "I own my device," and so everyone must be vulnerable to being coerced to install malware under that ethical principle. It's a reasonable stance, but I don't share it, and I don't think most people share it.)