A Fender Bassman has been used for many years by many pro guitar players looking for that deeper tone that you are talking about. The SVT, if memory serves correctly, has a pretty large output transformer with pretty heavy windings inside. The larger the wire inside the transformer is, the deeper the tone. A perfect example of this is my homebuilt firefly amp. With the Hammond 125A transformer that the original schematic called for the sound was quite bright and less than stellar for my style of playing. I changed out the output transformer to a 125D (which is rated for higher power with very similar specs) and the bottom end filled in quite nicely. There's no more sound volume with the "D" versus the "A" but the "D" is much beefier with heavier windings to support the higher potential output power.
While this works for guitarists plugging into bass amps, plugging a bass into a guitar amp is a much faster track to a dead guitar amp for the reasons that teemuk has already described.
While this works for guitarists plugging into bass amps, plugging a bass into a guitar amp is a much faster track to a dead guitar amp for the reasons that teemuk has already described.