Congratulations! You certainly got lucky with finding the images from the old auction to guide you. It's not impossible to substitute the Vortex motor in place of the double stage motor, but very tricky.
However, whatever you do, DO NOT THROW OUT THE OLD MOTOR! Definitely keep it as a spare. The Vortex motor does pull slightly more waterlift than the German made double stage motor that Miele made from 2000 to 2003, but it's insignificant. About 95 inches of waterlift for the double stage motor, 100 inches of waterlift for the Vortex motor. The double stage motor, as well as the double stage Ametek motors used before this, have the advantage of being FAR MORE durable than the Vortex motor....while you can use generic bags with a model that has the Vortex motor, it is far more sensitive to damage from dust and dirt than the other motors were. Also, one really annoying aspect from a serviceability standpoint, is there are no spare carbon brushes for either the Vortex or double stage German motor - VERY STUPID of the Germans to put a motor like that in a vacuum that costs $1G! Also, with the models that come standard with the Vortex motor, if the circuit board fails, you CANNOT bypass the circuit board to get the motor working again. In my humble opinion, that's a HUGE design flaw!
Also, while you consider this vacuum outdated, who cares? This was made during Miele's golden period, 1990 to 2004. This is when the company was putting out their best quality products. And while there have been some minor changes, like to the docking system, direct connect hose and wand and style of HEPA filter used, it's still just as nice and you can do modern upgrades to it like the newer style powerheads. The Miele vacuums from this period will FAR OUTLAST anything the company makes today....the S300 and S400 series in particular makes the S8/C3 models look like a joke in comparison. Also, one thing that's really nice about these models is the quality of the hose and attachments....nice flexible Plastiflex hoses compared to the Wessel Werk hoses that started with the S500 series in 2000 that are stiff and a pain to work with. Also, the full size SEB226 powerhead that certain models had available had a nice quality METAL brushroll and bottom plate that were higher quality and much easier to service than the current powerheads Miele offers today. In fact, the quality is so much better on these older models, I personally recommend one of these and setting aside some spare parts over buying a new model - they are that good!
From 1984 to 2000, Miele vacuums sold in North America used Ametek double stage motors. The Ametek 115923 was used in the S200 series and the Ametek 117923 used in the S300 and S400 series. Both motors were identical with the 117923 having a metal ring around the fan opening for the motor seal to sit on. The exact same motor was used in the Kenmore canisters up umtil the late 90s. Both of these motors will draw 10 amps and pull 100 inches of waterlift like the Vortex motor does, and will be much more durable and not be sensitive to dust and dirt. Since the 115923 is still available, you would have to use a Dremel to cut the metal ring off the old motor and use JB Weld to attach it to the fan case on the new motor. Also, you would have to attach the old motor wires to reuse the female disconnect terminals and use a zip tie to attach the circuit board to the side of the motor in a S500 series model. Also, if it's a model without a circuit board, be sure the new motor has the overheat thermostat built in....the models from this time that had no circuit board, such as the S301i, S401i and Miele Naturell, had a motor thermostat that is separate from the motor. If the new motor does not have a motor thermostat built in, the old one will have to be reused.
Rob