So I played around a bit more with it.
I removed one of my aliases on the Jenkins project and when it was removed from my count I claimed it again in the hopes of being able to set the other
... [More] affiliation then. But didn't get the option to do so.
This topic https://www.ohloh.net/forums/11/topics/8184 talks about the same issue that I also want to bring attention to.
It is not only that I want to differentiate between affiliated and non affiliated commits, but also when I change employer in the future I would like to have those commits counted to my new organisation, the same as the topic above.