i forget which monitor manufacturer it was, but even with a diode split winding on the flyback, they tapped the focus and screen divider from the anode voltage. those flybacks had a distinctive failure mode..... the anode voltage would arc from the top of the focus pot assembly to the nearest piece of heat sink (the one for the horizontal output transistor). triplers were most common in sony tv's and rear-screen projo tv's. the HV wiring got really interesting in projo tv's that used distribution blocks to split the HV 3 ways. the tv would have a rather large flyback, then the HV wire from that would go to a distribution block and 3 HV wires came out of that to go to the tubes. others used a tripler with 3 HV wires, and still others used 3 separate flybacks.
when i was young, flybacks were not encapsulated in plastic, and had a separate rectifier. i used to have piles of 1B3 tubes when i was a teenager, as well as 6DQ6 tubes (the horizontal output tube that was most common). later the tube was replaced by a silicon rectifier, but the flyback was still "open frame". eventually somebody figured out that they could put diodes between each "pancake" and encapsulate the whole thing.