I went from Clavis to Helikon over a decade, then to Koetsu (Black Goldline), then to Urushi Vermillion. Can't imagine going back to Lyra; not because of the cart's, which are superb in their own right, but because I now have a Transfig. Proteus, which does everything my Benz Ebony did, losing marginal warmth but adding much more space, extension and refinement than either of my Lyras yet with similar dynamics. Absolutely transparent but never analytically challenged.
Whereas the Lyras are happy in low medium mass arms (SMEV, e.g.), the Koetsus benefit from heavier arms (I have 2 x 12").
Also, of course, your K has about 0.4 mV or maybe a little less for the Platinum (at 5 cms/sec) but the Lyras have 0.55 mV, which can come close to challenging some phono stages (Superline, e.g.)
Depending upon your ancillary kit, I think you'd enjoy the Atlas, though it might be a culture shock at first, as the two brands are chalk and cheese tonally in the cart. department. Ks are darker and more intense emotionally.