It seems to me the real thing open source projects ought to have is control over their data / autonomy - having some service control your forums and publish the code they use to run them doesn't seem like much of an advantage, if you can't apply patches to their system. For instance, while it helps Debian that their GitLab instance salsa.debian.org is open source, how does it help a non-Debian-affiliated project that happens to use that service?
So there are two separate things you could be interested in. One is, am I running my own service? Most people don't want to be 24/7 volunteer sysadmins, it turns out. (A few do, like the people who run salsa.debian.org: more power to them. A few open source projects can pay sysadmins, which also solves the problem.)
The other question is, can I get my project's data out of someone else's service if I want to migrate? It turns out that you can do that for many closed-source forums.