The main thing is to be sure the lathe is sitting solidly and won't move. If that can be achieved without bolting the stand to the floor, you'll be fine. I would be cautious of rubber mounting pads. You don't want flex in this situation.
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Try to make a living, not a killing. -- Utah Phillips
Don't believe everything you know. -- Bumper sticker
Everybody is ignorant, only on different subjects. -- Will Rogers
Law of Logical Argument - Anything is possible if you don't know what you are talking about.