Yes apply.

Your wife needs to write down the facts in order, including the positive reviews. She will use this if the company argues against her application.

I have learned that companies like this either don’t answer the paperwork from unemployment so they don’t lie to the government, or they try and claim bullshit that she can refute.

The person asking her questions is usually pretty kind and has no determination on the situation, but their wording can, so make sure she just states facts, not feelings. (A fact is that she had positive reviews, a fact is that no one brought up anything negative about her performance prior to firing her, a feeling is being sad about what happened or angry at them for how they sucked).

File for unemployment. Help establish a pattern so that labor and industry can help.