The idea that ZW's are inherently fire risks is basically a fallacy,sorry. Yes, the breaker in there is not designed to trip fast, it is a thermal breaker and they are relatively slow. That said, I doubt unless someone has done really stupid wiring , like way undersize wire feeding something like an engine and there is a short, it is unlikely to cause a fire. As long as the ZW has been maintained, has the proper cord on it, has had the inside checked out for possible shorts and the like, there isn't really anything that earth shattering about it, it is pretty generic technology.
Is a modern transformer better? A modern transformer could catch fire, too, if someone wires wrong or they overload it, there are ways circuit breakers will fail on them, too,or they can overheat and cause a fire from a problem inside the transformer, it happens. As others have pointed out, put a fast blow breaker on the output of the transformer and you eliminate much of the risk. I realize safety standards have changed since the 1940's, but the reality is that it isn't like a ZW is like a ticking time bomb either, it might have a slightly higher risk of having problems than a modern one (Plus I seem to recall they made ZW's in the 50's and 60's, when I am sure standards had changed).
Look, you leave anything going and there is a risk. My son left the fan on in the bathroom in his apartment that has a heating unit in it, and it caused a fire, and that was put in only a couple of years ago. It isn't that hard to have the transformer on a power strip to shut it down if you don't want to unplug it *shrug*. I agree with GRJ, there are things we leave on (like chargers for phones, battery powered tools) but we also power down things we aren't using routinely.
I am not saying everyone should run out and buy a ZW or KW or whatnot, all things considered a modern transformer might be easier, like having a fast blow thermostat and made to modern UL standards by default, but it also doesn't mean a ZW is like some dangerous appliance CPSC caused to be recalled. On the other hand given the cost of modern transformers, someone might find an older transformer in their price range *shrug*.