I have a Western Field (okay, it's my son's - he doesn't shoot it yet, he's 9) with a ported barrel, but that is only because when I bought the shotgun, it had a fixed-choke and could not be used for steel shot. I found a ported Mossberg 500 for real cheap and so now my son's shotgun will shoot steel (when he needs it). I kept the old barrel for rabbits and the like.
If porting is directed backwards, it does reduce recoil - Newton's laws must be followed and if the barrel is pulling forward, it bleeds off energy from the rearward thrust of the initial firing. The Swiss used just such porting in the Ljungman rifle, and other nations do so using a muzzle brake. Porting that directs upwards does nothing for recoil but does keep the barrel on target better (in theory) basically the same way the AK brake keeps the muzzle down during rock-and-roll. Porting that vents to the side just wastes propellant gas and annoys anyone close by to no purpose.
But as noted, the pressure at the end of a shotgun barrel is pretty low - that's why they can be so thin compared to a rifle. How much it actually reduces felt recoil is probably pretty low. I can toss a cup of water from the shore into the ocean and the levels will rise. They must. I just wouldn't be able to measure the change in world-wide ocean levels. (Of course, were I to toss the water from a boat, there would be no change as water displaced by the boat would reduce at the same moment the water was tossed).
I wouldn't pay more for porting - I find it annoying and I'm glad that revolvers have gotten away from it, that fad didn't end soon enough. But, I could pay way less for it and be just fine.
However, this does lead to an interesting thought that just came to mind: would porting prevent barrel damage in the event of an accidentally plugged bore?