Yep, that's my experience.
The early experience of many "mature" shooters (and I include myself in that group) was with a pretty similar group of rifles. The bedding of a Remington 700 does't differ all that much from a Winchester Model 70, despite the shape of the actions. Both have the front action screw behind the recoil lug. Many recent bolt-actions use very different "lug" and bedding systems.
