You're right. My point is that the confusion derives from the suppression of the subordinating conjunction, "because." That kind of stuff happens all the time in both spoken and written English, and sometimes leads to the ambiguity that started the discussion of grammar. In some cases a comma could reduce the ambiguity, and in this case, I agree with the point. But that's not true in every case where subordinating conjunctions are suppressed.

Anyway, I'm not advocating for the "fully expressive" form (and by fully expressive I mean that in that sentence every grammatical clause is clearly expressed)--I used that to underscore the grammar and, as a consequence, the original punctuational point that underlie the ambiguity.
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MACTECH ubi dolor ibi digitus