Usuing a Thule "Wheel Strap" on Yakima bike tray?

I'm a little bit fed up with the new design "rattler" Yakima straps and I've
"upgraded" all my older racks so I don't have any of the old flip style
straps, unfortunately. I think they work better with larger mtn tires but
not so well with 120psi road tires.

At any rate, I notice Thule makes nearly the same design as the one Yakima
had, does anyone know if the tab diameter (the part that fits into the tray
slot)is close enough that their wheel straps will work well in the Yakima
bike trays?

Thanks,

-pete