Interesting debate and I think you make an excellent point David.
While I agree that machine tools are designed to absorb or dampen vibration on their own, it is my experience that they will do so if correctly designed, but not up to their maximum capabilities. When operated under heavy cuts it is important to bolt the machine down, not only to prevent it from dancing across the floor, but it will also help with vibration if the machine tool base is grouted and bolted down.
If the floor was designed for industrial use, ie minimum of 6-8" thick and laced with rebar there will be no damage to the floor. I have seen machine shops on the 2nd floor of a building with a concrete floor last for 30 years without any damage.
In terms of correct design of the machine tool, Mazak and many other CNC machine tool manufacturers, used a cast iron hollow box structure and then filled the hollow with sand. Sand is great for dampening vibration. Nowadays I think they have moved to using polymer concrete.
Having said all that, I have seen many machine shops where they don't bolt or grout their machines and they seem to do just fine. But in a heavy cuts especially in interrupted cuts, I think bolting and grouting will help with vibration control.