I just showed you 2 other QBs that had more carries and a lower fumble rate, so, no I'm not sure what you mean here.
There is no connection between why a QB runs and if he fumbles. The majority of any QB's runs are not called plays.
Some QBs/TEs/RBs fumble a lot, some hardly at all--this should be intuitively true. RBs fumble less than QBs not least because they protect the ball better by training.
Danny Jones, who played under far more duress last season than Allen did last year AND had far less help than Allen did, had 120 carries to Allen's 124---yet only 6 fumbles to Allen's 13. Fields played on an even worse Offense, yet he had a lower fumble rate than Allen.