That's what wood glue is for, it's strong as wood if your joint is tight. Personally, I love the look of box joints. Buy a chisel and try one, it's mesmerizing.
With the caveat that depending on grain orientation w.r.t. the joint, wood movement[1] can very significantly weaken some glued joints to a tiny fraction of their original strength, in a surprisingly short period of time. IIRC, Matthias Wandel (aka the Woodgears.ca guy) referenced above has a nice example of a poor joint vs. glue design in one of his videos, but I forget which one. :-/
[1] Primarily due to expansion and contraction due to changes in ambient humidity.