I think this is largely true. There are a lot of relatively EQ neutral drives that have good low gain tones. OP I think it will come down to how much compression you want, how loose the low end you want and how “open” the high end is.thats right, step up, young and old, and Name Your Favorite Overdrive!!
(but seriously nearly any overdrive fits this description)
Some thoughts DOD 250, an Electra Dist like the Les Luis, Barber Gain Changer, a Blues breaker based pedal, the JHS Charlie B, Zvex Distortron or other jtm style drive, BMF El Jefe ..