Dunno about Persian style tea; but the pu’erh I often drink tastes significantly better from a sake cup vs a “normal” double walled bodum tea glass. I can’t really explain why, cup shape does affect hiw much you drink per sip, maybe the nose is involved.. Or it’s all bollocks and completely in my head.

Either way, sake cup is the way to go for puerh ;)

Actually color can affect the perceived taste. Red/vibrant colors make the drink taste more sweet.

I believe they meant that the color of the tea matters, as an indicator of how thoroughly/well it's been brewed, rather than the fact that you can see it or not.

Do you drink wine, or anything where you even occasionally care how 'open' the glass is? A saucer's way more open than a cup. I'm sure there are vicious debates over flutes vs. saucers on champagne-appreciation.net forums or whatever!

Not at all the same, but texture too. Meringues are I think the best example of that.