No, I can't hear it, no matter how many times I listen. If it is "soft", it is "soft" to the point of actually not being there, seriously. If I would have to guess whether the "soft" t has been pronounced before or after "æble", I would put my money (and lose it) on the "before" option, as there is a possibility, that -t- has disappeared between spiser and æble.... But at the end... No, no, no, I can't hear it.... This phonetic reduction in Danish is even worse than the one in French!
I have learned a bit of German and that really helps me with the pronunciation and vocabulary - there's a lot in common. Danish grammar is actually simpler, to me. Try learning a little German though - you'll find parallels between English and German (because English is a Germanic language) to help you learn German, and you'll then find heaps of parallels between German and Danish. It doesn't even need to be a lot of German. Just a basic foundation. All of this will seem less random.
Am I imagining the following? If I pronounce aeblet so that I finish on the final -t phoneme with my tongue flattened along the upper dental ridge and the top teeth, it sounds like the pronunciation from both male and female voices? Is this a soft D? It seems like an allophone of L. Am I hearing it right?