Well, I know what that butterfly looks like, and they are pretty nice, made in the USA as well, in Chatsworth CA. Basically a small permanent magnet motor ( actually a brushed neodynium magnet motor with an eccentric mass on the one end of the shaft) that is designed for 2-5V operation. Thus with 2 new cells it will start off at 3V2 initially, rapidly dropping to around 2V5 with standard alkaline cells. The manufacturer recommends using Eneloop cells for best consistency in performance, but alkalines will do, Regular cells will not last long with the high current draw, around 500mA to 1A depending on motor voltage. The wired remote has a resistive speed control, basically a 4R wire wound resistor in series with the power lead. Leads will also add around 2R of resistance to the setup, so your current range is around 200ma minimum to around 700mA on a typical unit.
Batteriser will keep the output voltage at around 3V for a long time, so in this use it will work, though if i was the OEM of the device ( Pipedream Products) i would instead put the electronics into the next version of the unit control ,as it will only need a new control, and around 3mm of extra size on the long dimensions, and a slightly better speed control. The existing ones are pretty poor, they suffer badly from contact problems, and the assembly is rather poor in all regards, from the soldering to mould quality. The motor would be fine with 5V into it, it is the typical small model motor you find all over.
Cheapest retrofit for these is to graft on the 3 cell battery boxes, they contain 3 C cells, have a much longer run time and higher level of output, but are not as discrete. Otherwise use the newer rechargeable models with a lithium cell in it to provide power.