I also prefer solid, bolted mountings.
My machines are smaller (eg lighter) because I work in a frame building with a wood floor frame. Not the best by a long shot, just what I have. I level the machine with shims and then fasten it down hard with lag screws. Usually over a joist and near a sill. Any vibration that arises is something on the machine out of line somewhere. Or more likely, my poor set-up. Something that, in any case, needs looking in to.
The shims are usually wood and metal, for the appropriate thicknesses. After the machine is bolted down, it is releveled, the shims adjusted, and tightened again. (and again, and again, and again until it's right) And then rechected on an ir-regular basis to see if things have changed. Often the floor moving...
From my industrial background, if a rotating assembly needs shock mounting, I would think something was wrong with the machine. Either by design or an off balance load. e.g., a pump impellor with a worn vane. (In the range of several tens of horsepower usually) A smaller machine will usually have to be touched to feel such an imbalance. The "laying on of hands", so to speak. There is a difference between the grinding of a machine in good shape and the vibration of an error. That is only learned with time and experience.
Sorry to intercede on your topic, but it is a serious comment about newer machines.