I don't accept light strikes, except possibly on a target/range handgun that I keep set for the lightest strike that will ignite the primer on 99%+ of rounds. I adjust for this light of a strike because of the improved overall trigger pull that results. I have one gun that sometimes falls into that category (that I sometimes run a hammer spring that is that light), but the resulting action is excellent so I think it's worth the occasional annoyance of a light strike.
Otherwise I address the cause of the light strike and eliminate it. As far as I can recall, I've never had a gun that couldn't be made to deliver adequate primer strikes.
With regard to rimfire FTFs, IME the vast majority of these result not from the ammo, but from the gun. Either dirty, a weak spring, or a poorly-positioned firing pin strike. Most rimfire guns don't strike the primer rim in the ideal spot if they've not been modified.
Here's a pretty typical rimfire gun's primer strike. This is from my 1958 BRNO Model 4. I don't recall a FTF from this gun, but perhaps there has been one or two at some point that I don't remember. The "problem" with this strike is that the very edge of the rim is being crushed by the firing pin. Crushing the relatively thick edge of the rim requires force, but doesn't contribute to igniting the primer. A weakening firing pin or a unusually thick rim could result in insufficient crush to ignite the primer.
View attachment 1128973
Here are some strikes from the same type of gun that's had the tip of the firing pin reshaped to deliver the strike only to the area that contains the primer, and to avoid crushing the metal rim. This will be more reliable, require less spring tension to drive the firing pin to a reliable strike, and according to several shooters I've seen who tested before and after, may result in slightly improved groups.
View attachment 1128974
Here's another before-and-after of a firing pin re-contour. He simply removed the corner of the firing pin tip that originally contacted the rim edge. IIRC, this was from one of the target shooters who saw improved groups following the modification to his rifle.
View attachment 1128975