I have a problem with this. Not the joke - but the assertion that it
would be difficult for AS types.

My understanding is that there is a tendency to take literal
meanings. Surely there is just as much chance of the literal meaning
being the jig-saw, rather than the jigsaw.

It's all a matter of familiarity. If anything, a highly educated, and
well read AS person, I assume, is more likely to get pun jokes, as
s/he would not be limited wy expectation, and would see all literal
interpretations with equal clarity.

But then I could be wrong.