to answer the question, no, the paint SHOULD do the job. That particular paint, I don't know.

That paint is good. I have used it. What finish did you use? Satin is a harder finish for high traffic areas.

I can't read the writing on the can anymore, but it is semi-gloss or satin.

It is up to you but poly is terrible for off gases especially confined in a small area cause it still off gases for 5+ years and is bad for your health and liver need to use it only in a well big open well ventilated area I would use a tough enamel gloss finish it is durable and washable and has alot less off gases that will damage you health of your children and yourself if you use poly your in health trouble