MLS listing and Fsbo at the same time on Zillow?

[Sam Tright]

I used a flat fee listing service to get my property on the MLS. A broker I use allows trying to directly sell the property as well, and if I do sell it myself I don't pay an agent commission.

This made me wonder if I should have listed the property on Zillow as a fsbo.. does anybody know what Zillow would do if a fsbo is listed, and then the MLS pushes the same house to Zillow as a broker listed property?