First of all, any bike saves some road space over cars simply by being shorter.
The length of the vehicle itself is the least significant factor in running lanes space required on the highway. The most significant factor is the headway or safe following distance between vehicles, and that distance is the same for light vehicle classes.
Running lane space required by traffic at 100 kmph, assuming the recommended 2 second following distance headway between vehicles, and assuming only two occupants for cars/trucks and either one or two on the motorcycle, shows how space-inefficient a single occupant motorcycle is in an HOV lane:
55.6 m headway + 2 m vehicle length for double-occupant bike = 57.6 m = 28.8 m per occupant
55.6 m headway + 4 m vehicle length for average mid-size car = 59.6 m = 29.8 m per occupant
55.6 m headway + 6 m vehicle length for average pickup truck = 61.6 m = 30.8 m per occupant
55.6 m headway + 2 m vehicle length for single-occupant bike = 57.6 m = 57.6 m per occupant
The sole-occupant bike consumes far more running lanes pace than the other scenarios. Even the double occupant bike is scarcely more efficient space-wise than a car or truck with two occupants in it. Now, place a third or fourth occupant in each of the cars or trucks and recompute.
This is evidenced by the fact that if you put 10 bikes in a staggered formation in a lane, they will occupy less than 1/2 the space of 10 cars in the same lane. If you doubled up the car occupants they would still take up more space in 5 cars than the bikers would on 10 bikes. That's the only way to compare the two on an even keel.
The problem with that theory is that you will seldom ever see 10 bikes commuting together on the 400 series highways. Even on weekend group rides where you have a better chance of seeing larger groups of bikes running together, they simple do not maintain that tight formation you speak of.
Now put that in a rush hour context on the highway. Seldom do you see two bikes running together even for short times, let alone for any sustained stretch. Let's say it happens though. You can't run side by side, as cautioned by the OPP to Port Dover riders the other week, so you must run staggered. Even running a tight staggered formation, you're still go to occupy about 1-1/2 times the running lane space as a single bike. Go back up a few lines and do the math. Even there, the space required by a pair of bikes running staggered falls well behind a two-occupant bike when it comes to running lanes space per person.
Let's take that argument a bit further. If your argument is that running staggered formation shortens running lane space requirements (even if not as much as a two occupant vehicle), shall we then amend the HOV lane law to allow single-occupant bikes in the HOV lanes ONLY if at least two bikes are running together in tight staggered formation?
So in that analysis it is clear that a single occupant motorcycle takes up LESS road space per person than a double occupant car, and it should clearly be allowed in the HOV lanes.
No. See math above.
From the sounds of it, the planners simply neglected to consider the benefit of motorcycles over cars in alleviating congestion when they defined their methods. No surprise there.
They probably did do the math. There are no congestion-relieving effects of allowing single-occupant motorcycles in the highway HOV lanes. See math above.