Generally not, although the offering of higher category rooms for points is at the discretion of the property, as is the availability of using either cash or points to upgrade to a higher category room, including from "free" rooms or those paid with points. SPG has some charts for this by category, but hotels aren't obligated to participate and the types of upgraded rooms that may be available can vary greatly. So it's very much YMMV with no perceivable convergence of the number of points required for whatever higher category rooms may be available using points in some form.