I used the ASB, so 7/18. Since then he's got a .266/.318/.506 line (127 wRC+) in 293 PAs. It's probably not fully earned, there's some xwOBA shenanigans like you call out (though worth noting the ASB is when he started doing his Isaac Paredes pulled fly ball impression) and he's overindexed against LHP. But he's also 24 and presumably still improving. Let's call him, especially by April 1 of next year, a true talent 110 wRC+ and +5 COF defender? Stylistically different but that's not too far off of Ian Happ.
I'm fine moving Shaw, I think just in the past few days I wrote something on the minor league forum about us being in a pick 2 situation with Shaw/Alcantara/Ramirez and me preferring the latter two. But assuming he doesn't tank over the next five months I view Shaw as a viable backfill for one of those corner spots heading into next year.