I'm going to draw an absolutely ludicrous comparison but its something that popped in my head last night. I watched the Queen's Gambit recently on Netflix (minor spoilers ahead), the chess-style she plays and is strongest with is The Sicilian - but the best chess player on the planet also plays The Sicilian. When she comes up against him she tries to tinker her style and receives stellar advice from her frenemy in the show, along the lines of: "Never change what you're strongest at to accommodate your opponent, The Sicilian is what you're good at, play the Sicilian".
I'm not certain on the reasons for it, but it feels as though the tinkering of squad/formation every week is from analysis of the opponent and trying to catch them out/match something in their game. My advice would be a footballing cliche: (to a certain extent) We should worry about ourselves rather than them, play our best 11 (and watch the Queen's Gambit if you haven't already, decent show).
I feel the further up the leagues you go, the tinkering and expert-footballing analysis will be much more potent against better footballing sides. Shrewsbury felt like a copy and paste League One side - big, physical and do the basics right. IMO a squad more reminiscent of what we looked like recently with Cole and Yorke up front would have performed miles better against them (or maybe they wouldn't have, its a funny old game as they say).