It depends on the triggering threshold of the vacuum, but it should still function in auto mode with a transformer. When you first plug the transformer in, there will be an inrush current to build the magnetic field around the transformer windings. This will trigger the vacuum to start. However, once this magnetic field is created, there will be very little current drawn by the unloaded transformer, and the vacuum should shut back off until a tool is turned on.
I do have a portable transformer, and I did confirm this with my Festool vac. However, that's not to say it will always work with all vacs and all transformers. So your mileage may vary. I put an ammeter on my transformer, and it peaked at 63 mA and then tapered off to 0 amps in about 4 seconds. The vac only ran for a couple of seconds. I believe the Festool vacs have a triggering threshold of about 40 mA, but I cannot confirm this at the moment.
The principle is that transformers are very efficient concepts, with real-life transformers behaving very close to the ideal transformer laws. The transformer law states that the current on the input will be proportional to the current at the output, and that includes going all the way down to zero amps. So when there is no draw at the output, there will be virtually no amperage at the input.