Is a pink cat worth a Frost Fury in Adopt Me?

I'm curious to know, in the world of Adopt Me, does the value of a pink cat equate to that of a Frost Fury? Both pets hold a unique charm, but is there a clear hierarchy in terms of rarity, desirability, or market demand? Are players more likely to trade one for the other, or is there a significant disparity in their perceived worth? As a fellow enthusiast, I'm eager to understand the dynamics at play within this virtual economy.