The voltage setting is probably off on one device or the other.
Or it could be the placebo effect due to the persistent promotion of the MVP2 which the twist lacks
This is a common mistake.
The Amperage is determined by voltage and resistance, not battery size. (assuming you don't exceed the batteries current capability of course)
Source please.
I can crank up my joye twist to 4.8 Volts with a 1.8 ohm load.
This pulls 2.67 Amps which is under the 3A limit I found here ->
http://www.e-cigarette-forum.com/forum/ego-type-models/298270-amp-limit-ego-twist.html#post6329264l
This makes it use 12.8 Watts which exceeds the MVP2's stated max power of 11 watts.->
iTaste MVP V2.0, Long-Lasting 2600 mAh Variable Voltage VV Box Mod - Best Electronic Cigarette | E Cigarette Manufacturer| Innokin
Even the $28 vamo V2 can go up to 6V and has a 5A max current
I really don't get buying a disposable device. The panisonic NCR18650PD 2900 mAh rechargeable battery commonly used in devices like the SVD,Vamo,SID,eVic, ect has a greater capacity than the MVP2 and can be bought for about $12.
So basically the MVP comes with $12 worth of battery and when the battery wears out you throw it away. I think that's why it's being marketed so heavily. Battery sales don't help the device manufacturer.