... I think that for chassis wiring one should not exceed the voltage rating of the wire insulation. Why bother to label the wire if you are going to ignore it. For those parts of the circuit that are over 300 V and under 600 V, I would use 600 volt rated wiring. ...
But you also know that when you look in a commercially-built amp that the wire insulation used is very much thinner than your 600v wire, right?
This is a topic which pops up in this forum once every 5-7 years. "300v wire" is rated to withstand 300v while enduring all potential abuse which might be thrown at it. And there has to be a wide safety margin, too; it can't fail at 350v or even 400v, despite only being rated for 300v.
In some places, vendors won't even tell you the voltage rating of common hookup wire, except where they have special wire rated for 1kV or more for special applications, or where there are special heat ratings for oven use, etc.
But ultimately, use what you decide works for you. Hoffman's 300v wire is fine for everything other than super-high B+ voltage (800-1,000v) in typical amps. I personally don't use it, but only because I don't like how PVC insulation melts when I solder. I do use Teflon jacketed wire, such as Hoffman's 600v wire (which isn't super-thick like a 600v PVC jacket), and wouldn't think twice about using his cloth covered wire (rating unstated).