A polymer frame, being lighter, results in more free recoil:
P-07, polymer — 27.7 oz and 4.87 ft•lb
P-01, aluminum — 27.2 oz and 5.03 ft•lb
P-01, steel — 37.7 oz and 3.63 ft•lb.
The above free recoils are derived from a round with a 124-gr bullet with a muzzle velocity of 1,133 ft/s for the P-07 with its 3.75-in barrel, and 1,143 ft/s for the P-01s with their 3.9-in barrels.
Some claim the flex of a polymer frame more than oftsets the increase in free recoil to produce lower felt recoil. I'm skeptical, but know of no way to measure felt recoil. However, a flexing frame seems a recipe for degraded shot precision.
I noticed the CZ-CZ catalog specifies their non-metal frames to be "fiberglass-reinforced polymer." I don't know if all gun polymers contain fiberglass, but I when I handled a P-09 last year my first reaction was "this isn't polymer!" I'm guessing the frame-warping fiasco of the 75 P-07 Duty, especially amongst the .40-caliber version, led to the formulation of a polymer that is stiffer than the competitions'. This may contribute to polymer CZs shooting more precisely than, say, Glocks or S&W M&Ps.
I was surprised to see the aluminum-framed P-01 come in a bit lighter than the P-07.