I've started toning quite a few of my RC prints. Only in polysulfide so far. The new Ilford MG RC is said to tone better than MGRC IV, and so far for me that seems true. It does change color, in a fairly pleasing way.
Some RC papers are said to be more prone to silvering out than baryta papers, and I've experienced that with Foma. I stopped using it, and toned my better prints on it in the hopes that it may prevent that.
I don't know about platinum, but the advantage of using it on RC paper as opposed to baryta is that the RC paper won't soak it up, so you'll use less of the expensive stuff.
I say why not, if you like working with RC paper.