I bought a CZ 452 a coupe years. I have a pretty stock but not that good looking as yours. If I was you I would shoot it "As Is" and check it out. I have worked on the barrel channel 3 times floating the barrel and then the barrel comes in contact with the wood again. Stock is not stiff enough. I am going to work on it a little more in the next month or so.
I have even debated, Either make a stiffer stock, Or when my buddy gets back from Florida I have though and threatened to take that 24 1/2 " barrel chuck it in his lathe cut and recrown the barrel to 21 inches to see if it will take the pressure off the front of the stock and free float the barrel once and for all.