Featherweight was designed as lightweight hunting rifle. It's enoyable to carry, shooting it from the bench is another story.
True 50 years ago, but at 7 lbs. the Winchester Featherweight is a featherweight in name only compared to most rifles today. Put it on some scales and I'll bet it is heavier than the Remingtons you have, about the same as a Ruger in a factory synthetic stock.
Recoil effects different folks differently and it is often more between the ears than anywhere else. While it has the "Featherweight" name stamped on it they are actually a bit on the heavy side compared to most rifles made today. With a scope and mounts you are right at 8 lbs all up. That is about as much as I'd want a hunting rifle to weigh. I cannot explain why you think it kicks's hard. I've several Featherweights as well as several rifles considerably lighter that are quite pleasant to shoot in 30-06 caliber and even larger. The new hi-tech recoil pads make even lightweight magnum rifles tame.