Most bodies today are Lexan!! You didn't have that back in the 60's!! The temperature melting point is a little closer to the flash point I believe!! You're gonna have to be CAREFUL!! On my hardbody plastic cars--it's easy to heat the plastic with a "heat gun"--then shape it with whatever I need for a form!! But expanding lexan is a bit more of a challenge!!
Actually we did have polycarbonate back in the '60s, about '68 IIRC (or '67 for some team racers?). And that is why I mentioned Butarate 'cuz that is what we had to flare. The later molds were made wider and the Lexan bodies were typically pulled off these, the rules were tightened up to make the cars look better (I assume on this point).
If you take a look at the actual race cars back then, they kept sporting wider and wider flares every race, so why shouldn't the slot cars emulate that fact? Some people weren't very good at flaring so maybe the rules were amended to level the playing field? About the time the Lola T70 replaced the Lotus30/40 as the "best" racer body, flaring wasn't really needed anymore as the width of the then current "hot ticket" slot bodies and the rules then matched. The Dynamic "Handling Bodies" were the ones I remember to be the game changers.