I think we both agree it played a part, but I also think we'd both agree it didn't played the inflated part that tend to be described in romanticized or, let's say "misplaced patriotism" historiography* : it was a big scandal, and was certainly in everybody's minds in 1316, but didn't won the situation alone.I agree for the 1328 succession, but for the 1316 one, it played a part, alongside the reasons you described.
*Which mostly can be summarized as "we had superior rights because...reasons!"