@RAT
I would hope you would do what you briefed.
My brief is that either of us can call STOP for anything up to 80kts and we will only abort between 80 and V1 for significant items including Engine Fire / Failure (confirmed with 2 parameters), smoke, blocked controls / runway, pilot incapacitation, any master warning (this is a type which suppresses non-urgent messages between 60 kts and 400') or anything else that will stop us safely getting in to the air.
Short answer - yes I would reject.
It has come up in the sim - and I don't recall being in an operator where a RHS RTO has not come up (I've only ever operated where if RHS is PF then they have control throughout the takeoff)