That grip is TIGHT. Notice the dominant hand's thumb curled down into the relief on the grip. That relief is there to allow both speedloader clearance and your thumb a place to go. The dominant hand thumb is also actively gripping the pistol, which is the total opposite of the modern grip taught for semi auto use where the thumb rides high and is not an active part of the grip. Notice also that my hand is gripping the pistol up as high as I can go. That high grip reduces muzzle flip as it brings the hand more in line with the bore axis.
The support hand gets deployed like you would with a semi auto with the meat of the palm on the portion of the grip not covered by the dominant hand and then knuckles to knuckles over the dominant hand. The support hand thumb goes forward along the bottom of the frame, but keep the tip of the thumb back away from the cylinder gap (unless you have huge hands that should not be a problem).
Also notice the trigger finger. It is into the trigger guard all the way and the trigger is pressed with the first joint of the finger and not with the tip of the finger. A trigger press technique that works great with single action and striker fired semis is a disaster with double action revolvers.
Revolvers simply have more felt recoil than semi autos. The main reason is the lack of a reciprocating mass. The secondary reason is that some revolver loadings are simply more powerful than comparable semi auto loads. The standard .38 Special defensive load (158 grain lead SWCHP +P) is just more powerful than most 9mm offerings except for the 124 grain +P loads going over 1200 fps. And when you step up to the 125 grain .357 Magnum, well, there is nothing short of a 10mm Norma in the auto pistol world that even comes close.