Portamento is
not the polyphonic version of glide. It may often be used in a polyphonic synth, but that's another story.
Portamento was invented in classical orchestrations. More precisely to define a technique for a singer. In classic orchestral definitions of musical terms, you can find:
Portamento - A mild glissando between two notes for an expressive effect.
There is no mentioning of mulitple (aka polyphonic) notes. And it describes it as a "mild glissando". So what is a glissando?
Glissando - Sliding between two notes.
This means that, while glissando is basically a linear transfer from one note to another (say, C to E), portamento is an "expressive effect" reached through a "mild glissando". Instead of a linear approach, portamento is meant more as a stylizing of an otherwise boring note. In effect, portamento is non-linear (if you will, say it's a short glissando to a then held note). Portamento would already reach and hold E, when glissando is maybe at D
While glissando is meant to slide or glide, protamento is meant to carry a note. For example, a synthetic kick drum based on a sine oscillator, uses portamento over a range of two, three or even more ocatves to create a transient that is followed by a straight deep note.
Maybe these videos can further express the difference.
https://youtu.be/OyDAh2sUl6U
https://youtu.be/VzUABTP0pvA
To summarize, portamento is an exponential glide to the significant note. It has nothing to do with polyphony. It is up to you to support multiple notes, but that still is one portamento per note.