Interesting document really!
Yes, it shows that at least Thorn mixed lamps are designed with with mains to burner voltage (power) ratio of 2.44:1 (220-230V 160W) and 2.4:1 (220-230V 250W). Does it still qualify as "approximately 2:1", you decide
There is still some uncertainty, as this book mentions two burner voltage ranges for 220 and 240V ML lamps, but only single mechanical specification for each burner wattage.
An interesting fact is that 160W and 250W ML burners are notably different mechanically to their plain mercury counterparts from 80W and 125W lamps. While 500W ML in fact re-uses the exact mercury 250W burner. I believe the explanation is the difference in fill pressure, giving the burners significantly different cooling modes. While 80 and 125W mercury lamps are filled to 20-40 Torr of nitrogen, mixed light lamps are specified as >500 torr. This pressure difference is generally absent in 250W mercury vs 500W ML lamps.
In fact, two counteracting factors work in mixed lamps when compared to plain mercury one. Filament sure gives some significant extra heat to the burner, radiant and convection, but at the same time, higher fill pressure significantly increases heat transfer from the burner to outer bulb.
I am skipping 100W ML as a weird type, rarely seen in the wild.