The JT6 being so close to the obsolete JT 2 1/2, fitting a JT6 chuck on the spindle is certainly worth a try.Unfortunately, it would appear that Jacobs quit making chucks to fit a 2-1/2JT sometime prior to 1961.
If the fit is not acceptable to you then it should be easy to lap the spindle nose until you are happy with it.
It would not be hard to imagine that the spindle nose could already be 'modified' to JT6 dimensions and the info plate was never corrected accordingly.