Big difference. Lynx is a lot softer and has noticeably more pop. Very comfy, although slightly muted string. Round profile. Tension maintenance is pretty awful, unfortunately. Great option for intermediate and below players, or juniors stepping up to poly from softer strings. Advanced players could totally play with it too (believe Mischa Zverev did FWIW), but due to tension maintenance playability window will likely be an issue.
Lynx tour is shaped (although not in an in your face kind of way). Much firmer string than Lynx and tension maintenance is very good. Better suited to players with high RHS. Important to point out that Lynx tour runs big - the 1.25 variant feels (and weighs) more like 1.30 and 1.30 is more like 1.35. Head does make an 1.20 variant, but availability is limited in the US. (Although I thought I recently saw sets are now available on TW, though). Also worth pointing out that the different colors play differently. IME the orange color is the most lively and probably a little softer. I personally preferred the gray and Champaign variants.