How do you know your marital status is the reason people move on? It should be obvious from the fact that you show up as "Available" that there's someone else in the picture, so anyone looking for singles only isn't going to deliberately click through to begin with.
I met all three(!) of my men through OkCupid, and two of them are married (although not to each other). If I'd only found out after meeting them I probably wouldn't have wanted to see them again. If I'd found out after becoming intimate I certainly wouldn't.