"just like our grandparents did" Ever watch your grandparents wash their hands? It was if they were scrubbing in on surgery. The 21st century quick wet-soap-lather-rinse ain't gonna do nothin' no-how. But if you scrub well like they did...
The BAK-based cleaners have an advantage for me as a contact lens wearer: no alcohol residue (and thus eye burn). No rinsing needed, just rub (scrub?), air dry, then continue as if at home. (I don't have to use any treated water prior to hand-meets-eye, removing that possible source of contamination as well.)
I use the Adventure Medical Kits hand sanitizer, and found that the dispenser can be refilled: take a suitable pair of pliers (I use needle-nose vise-grips) and carefully grasp the bottom plate and rock it off. It'll be scratched a bit, but it'll snap back on without any fuss (and many times too). I use either Soapopular (for backcountry as it's odorless but more expensive), or the Office Max Smart & Silky brand (the one for kids) for day-to-day use (dirt cheap). Even though these brands vary in concentration of BAK from 0.13% (Soapopular) to 0.10% (Smart & Silky), I can tell no difference in efficacy.