Unless operational circumstances dictate otherwise, a VRIAB does NOT take priority over other circuit traffic at a military aerodrome. Certainly, particularly at a civil aerodrome, aircraft joining for a VRIAB must take the actions of other ac already established in the aerodrome circuit into consideration - and GIVE WAY!! If you - in your C172 - or me, in one of my PA28s - is in a legitimate downwind position, then anyone 'breaking into the circuit' MUST arrange the timing of their break to position behind such other traffic. Otherwise - as has been said - there's every likelihood of an accident being caused. Because if somone breaks into the circuit in a hard turn ahead of another ac legitimately approaching the 'downwind' position, then the downwind traffic will be invisible to the mate on the break. Thus a climbing break is actually safer (and more satisfying as well!) - because other traffic in the circuit can more easily be seen against the skyline.
But then again, 300 ft and 300KIAS in a JP5A, idle and airbrakes abeam the tower and don't touch the power 'till you're on the ground - great days!! Oh dear, oh dear - the horns are coming out....