Open source means you can modify, rebuild, and re-distribute the code and the resulting app. Open weights you can do two of those things - you can modify and re-distributed. They can't be re-built, since you're missing the original training data - but they are a form of open that exists somewhere between open source and closed source. Derivative works are allowed, but the source material isn't available.
I don't see people complaining about creative commons licensed images or audio being "not real open source", and open weight models seem about the same as that to me.