The antonyms of "most appreciating" are words like "disapproving," "depreciating," "undervaluing," and "criticizing." When we disapprove of someone or something, we are demonstrating a negative view towards them. Similarly, when we depreciate, we diminish the value or worth of something or someone, indicating that we do not see it in a positive light. Additionally, when we undervalue, we underestimate the importance or merit of someone or something. Lastly, when we criticize, we express negative feedback about someone or something, highlighting flaws or shortcomings. Therefore, while "most appreciating" implies positive regard, these antonyms display negative perspectives.