They should be so lucky. Even given his bounce-back and defense/face-off prowess Couts would be very hard to trade, and Dvorak has a full no-trade clause for two seasons. Cates is probably who gets moved if they really wanted to subtract a center and some $.
But more likely the BSH article is right, you take very little to unload Risto and/or move Tippett for a still-decent return.
There's no masterful chess playing here, of two, three or four dimensions. More like checkers. The Flyers want the player. They think he's worth the overpay and the ripple effect, in both the short-term and the long-term. That's it. And if they don't get him they don't have to do anything in reaction to it, just proceed with what they were already doing (including Giroux, and/or considering lesser centers if available).
Funny reality check in the Athletic's 2027 early draft preview. They mocked it based on the current futures odds, which have the Flyers in the lottery/picking 13th (that's how it is on Tankathon too).