I would say cherry whites feel like stronger cherry browns, but not the same as white alps. Cherry used to puts whites for spacebar in mainly brown switch keyboards. I would say where the alps has linear increase of force upto the key press point, the cherry whites are more similar to browns that theres a less force increment until the key press point. Whites feel a bit more tougher than browns so you might like them.
Except they are very hard to find, almost like egyption gold to find, and when you do find them who knows what condition they're in. I have only one white cherry switch to my name and that came from my compaq keyboard.
Cherry greens are also interesting but are only found in blue keyboard's space bar, similarly same as blue but with more force (and click noise in this case), it would be interesting to assemble a keyboard from greens alone. I think greens are more heavy duty than blues or browns though.
White Cherrys have a steeper stem slope which is the attribute used to determine how much force each key requires to push down, i guess with a good mould you could make lots of white cherry keys or even ones with varying degrees of pressure and different pressure points.
Designing blues and greens are more difficult as they have two part stems and are a lot more complex to configure.
Either way if you ever find an "All-white Cherry keyboard" you can consider it a needle in a haystack, Cherry seem to no longer build this stem any more, and it isn't used in any keyboards for the past few years or so.