If anyone else wants a quick summary of what you can find on Google Scholar for this: There is currently no strong evidence in support of the idea that A2 milk has better digestive or other health properties than A1 milk. Most of the stuff I found out there concluded that there was no significant difference, and the few that I found on the rest of the Internet were contradicted elsewhere.

This is correct and does not contradict anything I said. It is quite easy to try it for yourself and see if it does anything. Of course you will want to avoid consuming large amounts of other dairy sources while you are trying it.

In order to build confidence in the results of a personal experiment like this one, it's best to (double-)blind it as much as possible and log lots of concrete data every day (e.g. keep track of your bowel movements, sleep quality, alertness levels, blood pressure, etc). This should help limit the impact of any (conscious or subconscious) preconceptions or other psychosomatic effects.

Also, change as little else in your life as possible while you're performing the experiment to control for confounding variables.

While anecdotal evidence is useful it doesn't prove anything. Research is stronger, but more limited in scope.