Yes. The visible difference is the "tear drops" design vs. the swirls (or older version design)
and the height of the tube.
Mini is made to use the shorter button top 18350 battery and with extension cap uses 18490.
(There are also other extension caps that are available from other manufacturers to increase the length to 18650.)
The regular is designed to use 18490 AW IMR battery and with the extension cap uses 18650--taller.
The main differences in price are to change the display color, (red is the default) or to get a different finish/paint color instead of the silver.
(like in the picture).
Here's a mini that someone made a bit unique by adding a longer extension cap & matching beauty ring on top. I find it quite attractive.