Id prefer the interface monitor with weights but Id say you could configure this with both as you said, with minimum-link the default is 1 so setting this to 3 would be a quite simple option I suppose.
Note that the minimum-links setting only monitors child links on the primary node
With weights a failover will occur if the interfaces >= 255.
So if you have 4 interfaces in reth and you set the weight to 255 then the unit will fail over if one of the links go down.
Your reth has 4 interfaces. Set the weight on each interface to >=85 and you will have to lose 3 interfaces before the unit would failover.