LVP over very thin, hard carpet?

[Karen F.]

In a  Dplus area, 2nd floor unit, considering installing LVP.  Currently there is that extremely thin, hard, cheap landlord carpeting (and also an area with cheap thin stick on hard tile squares).  I was thinking that the very thin hard carpet could serve as a sound insulation layer, and just installing click together LVP right over the thin carpet and the thin hard stick on tiles.  Also, how to get an LVP that will wear well, for cheap?

Any advice?