Using the foam is all personal preference.
I used the white bead board foam for my base. everyone told me not to, but i forged ahead anyhow.
I built my son’s 4x8 the old fashion way at first, I made the support frame out of 1x3’s then I put a 1/4" sheet of luan plywood on top of it. not 1/2 or 3/4"; 1/4" then I laid down the two 2’x8’ sheets of 2" thick white bead board foam on top. they were just laid there, I had the legs on this by now too. I then took 1"x6" and surrounded the table top making the whole thing flat.
Once i was COMPLETLY happy with what i was going to build, I then cleared off the whole layout and glued the bead board down to the luan sheet with cheap laytex caulk from ACE hardware.
I did this so late because I had the layout planned out, set, up and running, and then changed my mind on it, that allowed me to clear it off, flip the foam sheets over and start clean slate once again. i thought it might be too confusing tracing a new edge lines for the roadbed when there was already edge lines drawn for the layout plan i no longer liked.
I then used the WS foam roadbed on the foam, it is very quiet. I also used some cork, its quiet too, but not as quiet.
once ballasting is done though, there isnt any difference between the two, especially if you ballast the glue method, as the glue will form a hard shell when dry and that shell is what vibrates and creates the noise you hear. anyhow…
unsupported foam sheets will be louder, as they do act as a baffle much like a vibrating speaker does. I did some tests before I decided on how i was doing my benchwork. once the foam sheet was firmly settled down on the plywood, the echoing was gone.
right now, I can run my Proto 2K 0-8-0 around and when its alone and with sound off, you hear it rolling along when its at highest speed, and that noise is the motor noise not the vibrating noise from th