I for one loved how they did the flashbacks. Yeah, I didn't need the exposition recap, but more than that, most of the clips they picked focused on the growing psychological game Tyson and Neiman have been playing over the years. As someone who hasn't really watched those episodes since they aired, it added to the tension of the story and the history these characters shared. A 2 min, or more, "previous on..." couldn't do that for me.
No electronic records to prove the guy's Tyson? Beckett running off on her own? Sure I eye rolled, but I don't watch the show for logic & realism. Tyson's wink to Castle? Pure chilling entertainment. That's why I watch.