Either you are too young to know, or too old to remember (no offense meant). Yes, fuel stabilizers were needed and available long before alcohol was introduced to pump gas. In fact, Sta-bil fuel stabilizer was introduced in the 1960's to prevent gunked up carburetors and other problems of gasoline aging. I remember as a teenager and beyond, most car and motorcycle engine problems were caused by old fuel gumming up the carb(s) or water in the gasoline. Long before the "evil" alcohol was in the gasoline.
In fact, when an engine sputtered or ran rough or wouldn't start, the problem was often water in the fuel tank. Mind you, this was before ethanol formulated gasoline. Guess how we fixed it? We would go to the auto parts store, buy a 12 oz. bottle of pure alcohol (actually 95% alcohol, 5% water) and dump it in the fuel tank. This would almost always fix the problem. The same stuff that already makes up 10% of most pump gas. Really stubborn cases might need 2 bottles to be able to absorb all the water. You see, gas caps in the day were exposed to the weather and not as water-tight as they are today. And without alcohol in the gas, the water would phase separate and just collect down by the fuel pick-up.
"Phase separate", you say, "isn't that a problem caused by alcohol in the gas?". No. There are a lot of myths out there designed to make ethanol look worse than it is. Ethanol formulated gasoline is 100's of times less likely to phase separate than ethanol free gas. Pure gas, without alcohol, can only hold a miniscule amount of water before it phase separates. Just the normal condensation in a fuel tank only half full can collect enough water to separate from non-ethanol fuel. Ethanol fuel can absorb quite a bit of water and pass it out the tailpipe along with the normal moisture of combustion. Back in the day of ethanol free fuel, that's all the moisture it took to cause rough running or a no-start situation. Two bottles of "mechanic in a can/alcohol" were only needed if you had rainwater leaking in your tank.
How short our memories are (and how many urban myths are created and endlessly passed along).