I agree - I ran the Wilderlands of High Fantasy in 5e for around 4 years, and I found the system to be an excellent fit. Of course Wilderlands is an OD&D-based S&S setting (with a lot of Sword & Planet too), so higher magic than a typical Conanesque setting.This just goes to show that 5E is a pretty good fit for S&S to begin with, which is obviously one of the main reasons I like the system.
I'm currently running Primeval Thule in 5e, which is a more overtly Howardian/CAS type setting, and again it's a very good fit. Very few rules changes needed other than removing Raise Dead & Resurrection. The only person to ever cast Fireball is an NPC dwarf wizard who is explicitly presented as incongruous and odd for the setting; normally Wizards are casting Visions of Madness and making enemies' heads explode like in Scanners.