> The requirement is not just for modifying code strictly. It's for offering the resulting program to users.

This is the same misunderstanding everyone makes, and that the FSF wants everyone to make.

> your modified version must [...]

You are not required to offer anything to users. Your modified version is required to offer the resulting program to users. The requirement is confusingly worded, probably deliberately, but what it actually requires is for there to be a mandatory feature in your modified version such that it itself offers the resulting program to users. You are required at the time of modification to ensure that your modified version, at the time of execution, makes that offer (as part of its code).

Yes, this is hideously unclear, but that's what the text really says. The requirement is on you at the time of modification (also implied by this being a copyright license), and that requirement is for the modified version to work a certain way.

I can't find the link right now, but IIRC legal analysis including people involved in authoring the AGPL has confirmed that this indeed was the intent; they didn't want to put in a restriction on usage (because Freedom Zero), so instead they came up with this cute (and broken) hack that applies at modification time. Unfortunately, they conveniently forgot to mention this restriction violates Freedom 1 instead.

> If I fork an AGPL project to contribute to it, modify the code, but don't actually host the modified resulting binary anywhere, I see no issues here.

By modifying the code, you have invoked the clause of the license that you quoted. If your modifications do not include a functional change to the code, such that, if run, it offers the resulting program to its users, then you have violated the license.

> Similarly, if the project is well built, for example if the build process in the repo builds a binary that includes the output of "git archive" to serve, that link will always be up to date for any build, so you don't even have to update anything to start hosting a fork of it.

Correct. Almost no AGPL project does this. It is the only way to remain compliant with the license and still have a sane development process, but nobody gets that. Indeed, this is the only situation where using the AGPL does not impose an undue licensing burden on developers, and it sucks that, as part of trying to sell the AGPL as magic anti-SaaS pixie dust, the FSF has obfuscated this, and pretty much nobody is actually putting this feature into their AGPLed app build system, and thus causing everyone collaborating on those AGPLed apps to violate the license every time, because if this feature isn't in place already it becomes the burden of every single contributor.

> In your (linked) comment about the AGPL, you seem to be arguing that just forking and modifying the source code violates that specific clause.

It does, unless you first implement that `git archive` feature, and then make your desired changes. Which, as I said, nobody does.

> That is what you're arguing, right? Why would that kick in if you change the code but don't actually host the service in question where users can interact with it over the network?

Because, as I said, the clause is really all about what kinds of modifications you are allowed to make and what would happen if users interacted with it over a network - that doesn't have to actually happen.