I agree with armorer 951. The mainspring does have an effect in the slide's cycling.
There was a time when I was experimenting with the use of a slightly lighter mainspring in a 6906. I ended up using the 19lb reduce power mainspring offered by Wolff for a while, but eventually returned to using the slightly heavier stock mainspring. Ditto trying an extra power recoil spring in the same 6906 for a while (trying to balance the recoil spring rate change with the mainspring rate change).
I never had a problem with the 19lb spring igniting primers, but then I only used the factory duty ammo we stocked, and as an armorer I kept the firing pin channel of my 6906 meticulously clean.
The trouble was that as other of our people sometimes used excessive amounts of solvent and CLP's on their guns (cleaning their weapons like some people wash cars), the firing pin channels over time often acquired excessive fouling inside the firing pin channels (and bits of brass shavings from case rims and primer cups), and then even the stout factory mainsprings would produce insufficient force to ignite primers. Now, factor in a reduced power mainspring and consider how it might affect things under similar conditions.
Some people have said that the factory mainsprings in S&W 3rd gen's are strong enough to push firing pins to break rocks, but there's a reason for that, and the reason is being able to produce sufficient power to reliably ignite primers under less-than-ideal conditions (should they occur). Hard primers, heavy fouling and unexpected contamination (submersion, or migration of for example) and fouling are a couple of less-than-ideal conditions.
Sure, there have been some times when the factory reportedly used lighter mainsprings on some of the DAO guns, but that was a long time ago, and it didn't spread to incorporate the stock TDA guns.
Now, it may be another matter if someone is putting together a target/game gun and wants to adjust the gun's functioning to their "individual requirements", and they aren't planning to rely upon it for dedicated defensive use, and they don't mind if the changing of spring rates may affect reliability and perhaps long term wear & tear.
As a LE armorer my only concern was to try and keep the guns, both issued and personally-owned, in original condition to try and maintain optimal reliability for defensive use. I saw LOTS of issued and personally-owned cop guns that were subjected to abusive conditions, as well as user/owner "maintenance abuse", ranging from both the "neglect" and the "over cleaning" ends of the spectrum.
You know what made the most significant difference in the shooting my my issued 6906's? Installing the 1-piece Hogue wraparound grips w/finger grooves. Gave
me the optimal trigger reach (which has a lot to do with execution of trigger pull technique), as well as recoil management. Adds "meat" the grip dimensions, sure, but I really liked them for the live-fire benefits. Again,
for me. I have them on my 4013TSW, comes to that.
They can sometimes require a little attention and adjustment to get the hard plastic insert tabs to slip over and fit in the frame cuts on the back of the grip frame, though. I found my jeweler's needle files to be handy for that.
Just my thoughts.
BTW OP, I noticed you tried to PM me and my mailbox was full. That happens virtually every week. I can't seem to keep it cleared. Sorry.