Hmmmm... a transformer short circuit current, which is the maximum current that it can supply, is not the design or specified one, which in this case would be 1.2A and which is the current it can supply indefinitely while maintaining all of the design parameters.
The ideal transformer has, of course, infinite output current, but as the real transformers coils are made of copper, impure, there is its resistance that limits the current output (and of course heats the transformer). I'm dismissing losses due to the iron core as we are talking of the transition start up, which is likable to a short circuit.
One can calculate the short circuit current as the transformer secondary design voltage divided by the secondary total DC resistance, that would be the secondary DC resistance plus the primary resistance reflected on the secondary (the primary DC resistance divide by the transformer ratio).
In this case, the transformer resistance is Rsec + Rpri * Vsec/Vpri, and the short circuit current would be Vsec/(Rsec + Rpri *Vsec/Vpri).
The tube startup current without limiters of any kind (assuming there is only one being fed by the transformer) would be then Vsec/(Rsec + Rpri*Vsec/Vpri+Rfilament)
So, the transformer actually supplies several times the specified current at startup, given the very low cold resistance of the filament. This accounts for the "flash" one sees in some receiving/transmitting tubes.
The moral is: one needs to put some limiting element when feeding delicate tubes.
Gastón