Essentially, yes. In a nutshell, Commerce clause prohibits states from restricting trade across state lines. This includes travel of any kind as well since the majority of trade is done thru trucking. You can include private citizens in that since trade also includes vacation spots, which is still commerce; i.e. spending/traveling as they go...just like the schengen.

The parallels are numerous, hence the comparison.. Sure, there are wording that one has the other doesn't, but to me that's a pedantic platform to stand on. When you strip it all down to what they're for, they're essentially the same purpose.