Considering installing Allure Resilient Plank flooring in the bathroom. However, I would also like to install floor heating. Does anyone have experience with this?

Just an educated guess here: Since the Allure uses stick strips of adhesive I would expect some problems if used over a heated floor.

In order to get the glue used on Allure flooring to reliece I use a heat gun, so I do not see that working out for you.

in-floor heating sort of relies on heating up a mass of material to get a normalized temperature... material like thinset at minimum. you sure can't put that vinyl down on a heating mat alone.

I would contact the manufacturer and get their recommendations. since it's strip adhesive instead of a continuous bond, I'm leery of the results.