unless your stand is on a solid concrete slab floor, I would mount it on the wall. I have suspended hardwood floors on the main level of my home that are pretty spring due to the engineered truss system the builder used. I can't walk across the floor without affecting the record playing. Depending on volume level I also get feedback (depending on which table I'm using).
By the way, my knowledge of table technology is limited to what I've read here (most discussion recommends securing your table on a rigid foundation, or on the wall, or in another room), and my own personal experience (I'm an engineer and casual geek), but I don't understand the logic of the recommendation you receive, and fail to see any benefit it provides. As to your last question, it may indeed tie the table into your floors (assuming this is a valid goal); however, if your wall is a bearing wall, or located on a bearing surface this would take the floor out of play, which IMHO is your goal.
By the way, my knowledge of table technology is limited to what I've read here (most discussion recommends securing your table on a rigid foundation, or on the wall, or in another room), and my own personal experience (I'm an engineer and casual geek), but I don't understand the logic of the recommendation you receive, and fail to see any benefit it provides. As to your last question, it may indeed tie the table into your floors (assuming this is a valid goal); however, if your wall is a bearing wall, or located on a bearing surface this would take the floor out of play, which IMHO is your goal.