Barnes can be a knockdown shooter and gets his shot off quickly from the corner, so he may have fit in better.
Plus he actually gives effort on defense which was the main problem with Rudy. Not to mention the pecking order was already in place with Conley and Gasol being the Max paid cornerstones.
Barnes would have been an opportunity to show how Rudy should have been utilized. Although his offensive game is similar to prime Rudy - his time with GSW has forced him to adapt more to the modern NBA.
Barnes on the wing means that Tony isn't nearly as necessary. So now if we still want someone to share duties with Mike then just start a combo-guard with him. IE: develop Harrison or Baldwin as a combo guard.
Mike + Harrison + Barnes + JaMyke + Gasol (zbo and vince off the bench) is the type of team that can go toe to toe with pretty much everyone in the West.
Love affair with Tony Allen is why you sign a Chandler Parsons because you need a versatile offensive player to counter him. I was always a fan of going acquiring Barnes as the Rudy successor.
The Parsons gamble was too risky even with the skillset he brings knowing he wasn't healthy. Barnes would've been just as high profile of a signing.
hindsight is 20/20 tho