This is where you are wrong. Both gold and silver are used in manufacturing. Gold is an excellent conductor, but it is also inert in that it doesn't react with water or other chemicals. That makes it incredibly useful. Pretty much every PC and laptop you use will have gold in the chips (which makes old computers valuable - always remove the gold before discarding)
Good point. That affects gold, silver and assorted precious metals as they're traded on metals exchanges.
It doesn't much factor into the price of gold as its traded on commodities markets.
The demand for metals like gold or silver in electronics markets looks like a flat line, as far as I know. There isn't likely to be a noticeable growing demand for gold in electronics. The cost of precious metals makes them cost prohibitive and its far more likely that they're the first thing electronics manufacturers will seek to replace or reduce in quantity.
The best argument for gold and precious metals could be the protection they offer from fiat overprinting, inflation and potentially: hyperinflation.
Precious metals would be worth a lot more if they could be utilized to buy/sell and make electronic exchanges the way modern currencies are able to.