As someone on the spectrum, I can assure you that being on the spectrum is not an obstacle for understanding this kind of humor.

In fact, is the neurotypicals who struggle getting it because they rely on nonverbal cues (like a sarcastic tone of voice), which is missing in text, to detect humor.

Deadpan, dry humor is generally more amenable to the autistic mind, because it doesn't have what we consider noise.

If someone needs a laugh track to tell that something is a joke, then either it's a bad joke that wouldn't be made any better with a laugh track, or the problem exists between keyboard and chair.