Box mods are a better design since your pocket is square, boards are square, and good batteries are believe it or not SQUARE. (show me a 70c tube battery...) A box also doesn't look like a dildo, baby bottle, or any other number of implied things that cause people to stare at your love affair. A box is a very technical design, it screams tech, not sex toy. Analogs also happen to come in a BOX for a reason, not a tube.
I love my Provari standard too.
The Provari mini is an exercise in futility and I despise its minimal battery capacity with a vengeance. Its nothing special and basically is just a chopped down Provari standard w/out any actual improvements to keep this short.