I have to get away from telling my customers we do "vinyl" it just sounds so cheap.
Sorry, I never responded to this back when it was current.
"Vinyl" and "Iron-on" do sometimes seem to lessen the sense of quality with these materials and this process.
When asked if what I am offering is "iron-on" I answer "well yes, but we use a large industrial heat press which produces even heat and pressure over the entire area in one shot.
As for "vinyl", I refer to our products in general as die-cut or custom cad-cut "Heat Seal Films".
I'll leave "vinyl" to the adhesive backed materials used on signs and other flat stock, though I bet that many of them are polyurethane or other materials as well.