A Suite vs. A Medley

I've been doing a but of research, and I'm curious, how are esch of these defined. Here are the definitions.

A suite, in Western classical music and jazz, is an ordered set of instrumental or orchestral/concert band pieces. It originated in the late 14th century as a pairing of dance tunes and grew in scope to comprise up to five dances, sometimes with a prelude, by the early 17th century. The separate movements were often thematically and tonally linked.

In music, a medley is a piece composed from parts of existing pieces played one after another, sometimes overlapping

Does this mean several famous suites (prog or not) are actually medleys?

^ Like this:

In simplest terms a medley is a combination of short or abbreviated songs originally presented separately and not necessarily thematic (a medley of a band's greatest hits, for instance). A suite is a series of songs composed on an interrelated theme.