A typical question in every workshop I co-organize is whether we (the organizers) are allowed to submit papers to the workshop.
I almost never do it but I have no problem with other co-organizers doing it (I’m assuming we are talking about real workshops, not about conferences disguised as workshops) with just one pragmatic condition: I don’t want this to add any extra work to my organization duties. By this I mean that I’m not going to manage papers from organizers outside EasyChair (or any other conference management system) to ensure the anonymity of the reviewers. This is not only a pain in the ass for me but also for the affected reviewers and the whole PC.
So, do you want to submit a paper to the workshop you’re organizing? Fine with me but then I´ll just trust that you’ll look the other way when your reviews start coming.