Installing a poly-choke would be a technological step backwards. Screw-in were developed to improve the performance (better patterns) of poly-chokes. Remember, the poly-choke design pre-dates the one-piece plastic shot cup and wad. Shot shells have made a quantum leap since the original poly-choke days.
If you want old tech with better performance than a poly-choke, consider a cutts compensator with a selection of fixed chokes. It was the progenitor of modern screw-ins. Folks like Jess Briley reasoned that they could omit the cutts choke holder and carefully fit chokes to go directly in the barrel end. For some time, screw-in chokes were an expensive custom installed option. Now their application is wide spread. Why would you even consider a poly-choke on a gun that has factory screw-ins available?
The only advantage I can see to a poly-choke is for an older low-value gun that you want a selection of different chokes; but, you don't want to invest in having screw-ins installed.