The boiler overhang on the Lionel scale Big Boy is about 3.5 inches, yes, BUT . . . the semi-scale Lionmaster's overhang is only about half an inch. The reason for this big difference is not the slightly shorter length of the semi-scale, but how it is built. The Lionel scale Big Boy is, besides being scale, true to the prototype, a true Mallet design: the rear set of drivers is fixed to the chassis and the front set pivots at its rar end. This makes for massive boiler overhand in curves. By contrast, on the lionmaster, both sets of drivers pivot in their middle position, which minimizes overhang (and, to me, looks more natural).
I do not know if this is so with the MTH Imperial, but I would guess it is the same way: back four of five years ago I had an RK Big Boy and it was set up just like the Lionmaster: It was about 1/2 inch shorter than the Lionmaster but had both sets of drivers pivoting and had no more than half an inch of overhang, too.