Is abandonment sufficient grounds for "termination for cause"?

Question Details: Admittedly, I made a mistake and failed to show up for work for a period of time. I was battling some severe symptoms of mental health at no point disclosed with my employer and since my company was small enough to not participate in FMLA, I didn't think it was worth bringing up. Anyway, I received a letter saying that I was "terminated for cause" due to this abandonment, however I was always under the impression abandonment is considered resignation. Do I have grounds to ask the HR personnel to state my reason for leaving as resignation instead of termination for cause? I'm young and I know I made a bad decision but it seems unfair any future employment opportunities be jeopardized because of a mental illness that I'm finally getting control of.

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