It isn't really different from most of the "sport cars" during that era...They all offered road tool kits. I just happen to carry some spare parts along with the tool kit.
BTW: Below is an original 356 tool kit (now worth around $1,500). My kit is about the same, just made up differently, but if all you wanted to carry was a minimum, then this is it. The Phillips screwdriver doubles as the handle for the spark plug wrench as the "spark plug wrench pin" is pretty much useless.
And trust me - - I have a heck of a lot more tools than this in the garage/shop. Two six foot tall roll-arounds plus several counter drawers. That's why I don't buy big tools anymore - no place to put em!