Wire Bryston tranformers in series for 230V?

I have a Bryston 2B-LP that I bought new in the US in 1987. I've moved overseas and back with it a couple of times. While using it overseas, I always had it plugged in to a step-down transformer.

It recently occurred to me that I might be able to convert it for 230V by rewiring its two transformer primaries in series. That's sort of what restrappable transformers do, except, here, there are two separate cores, so, if the current draw of one channel was significantly higher, it would probably tend to sag more, since the other transformer would have more back EMF and be dropping more of the supply voltage. Is that a real concern, or does this plan sound reasonable? BTW it ran fine for years off of 50Hz 120V, so I'm not too concerned about the frequency.