I don't KNOW about all wheel colors on 60''s & 70's, but if they are anything like 2000 is cars, there all different kinds of ways to order and different options on cars. So, I don't know there is a single answer for all situations.
My dad's '68 green 340 GTS came with gloss black wheels w/red lines and full wheel covers. The spare wheel was also gloss black, but I can't remember if it was a red line tire.
My 70 Cuda came new with 15in ralleys and Polyglas tires, but spare was.a collapsible spare on a gloss black rim.
My wife's '19 Cherokee had alloy wheels, but the spare was a black steel wheel with same tire size and manufacturer. The build sheet specifically called out those options chosen.
I just bought an '09 charger police car and going thru the build sheet, there are an almost unlimited choice of wheels, tires, and spare options.
Long story short, I think there are all kinds of packages and options that are in play, so it may be tough to make a blanket statement.