This is not my experience at all. I use the AeroPress as my daily driver, but it's hard to get consistent results. The French Press is much easier to use and has less variables to consider[0], so of course I get more consistent brews out of it.
Buying good beans, grinding them fresh (even in a cheap blade grinder) and using a French Press gives you great, budget friendly coffee. The AeroPress is great for strong, single cup coffee, but needs a better grinder.
[0] There is even a whole championship dedicated to the AeroPress with huge different recipes.