I love Angie's reasoned, thoughtful response.
My personal take is that I am holding on to one small (very small) platform sandal because it is my only bright coloured sandal. If I find a bright replacement later this season, I might let it go, but for now, it is fine.
I feel similarly about all the ones you showed here, by the way. I totally see their usefulness and appeal and they don't feel dated per se, in an otherwise modern outfit.
Otherwise, I am wearing and enjoying my NON-platform wedges, my short heels (Okalas) and my higher heeled cage sandals that somehow miraculously feel more comfortable than my platforms (the VC cage sandals). That is my solution to this dilemma!