No particular reason. Jr. is enclosed therefore it is a lot quieter, can not print ABS anyway without heated bed mod.
Although Jr. and mini have same build volume, Jr. actually have extra room on x-axis (30 mm+) for potential upgrade for slightly larger print bed or add 2nd extruder after ramps conversion. Another advantage of Jr. is have build in LED case light, that is absent in miniMaker.
miniMaker on the other hand use 24V power system, which heats nozzle lot faster, and miniMaker takes 1kg filament spool instead of 0.5kg spool Jr. can fit in.
The paper tag trick works on miniMaker, I don't know for sure it will work on mini W+ since it is newer model.
I would not recommend buying the new mini for $180 if you already own an Jr. I think mini is for beginner to test the water without risking too much money and learning effort. Time to look for something that have slightly larger build volume or dual extuder or whatever can extend your power in 3D printing. More importantly, find something that support opensource system that support advanced optimization on print quality.
On the other hand, if you see jr. or miniMaker in ebay on sale for parts for less than $80 (including shipping), RAMPS convert it can also be fun.
(Da Vinci 1.0, Jr. 1.0 RAMPS, miniMaker) X4, (Creality CR-10S, CR-10 mini, Ender-3) X4, Anycubic MEGA X4, Anycubic Chrion X1, ADMILAB Gantry X2 (MonoPrice Maker Select V2, Plus, Ultimate)X4--Select mini X1, Anycubic photon X4, Wanhao duplicate D7 X1.
iNSTONE Inventor Pro X2, CTC Dual X2, ANET-A8, Hictop 3DP-11, Solidoodle Press, FLSUN I3 2017X1