It's an interesting process choosing the parts for a rebuild of an obsolete bike. Some are obvious choices, like bearings, some take a lot of Carefull consideration like what type of chainring or derailleur to buy. These latter choices are dictated by looks and quality considerations but also by what will "fit" or funtion properly. I found the most subjective choice of parts though to be the tires. Choosing these was akin to betting on a horse race.
Certainly there are tires for specific rims, horses for courses so to speak. There are weather considerations and the track they will be running on to take into account, but at the end of the day you are standing there looking at a small selection of contenders and trying to choose which one is 'best', which one looks the best but will go the distance and not break down on the back straight. I have only bet on horses once or twice in my life but that's what the process felt like to me. At the end I walked out clutching my tires as though they were betting tickets, full of anticipation on how my choice would perform in the coming months.