Both these asumptions have been convincingly refuted. (1) Tyrannosaurid
hindlimbs and feet were actually very cursorial (one professional
paleontologist has actually done rather a lot of work on this; he actually
posts regularly to this list). (2) Tyrannosaurid forelimbs, though small,
were nonetheless invested with an impressive amount of musculature and
mobility, suggesting they were used for *something*. I like Carpenter and
Smith's idea that the arms were used to clasp prey close to the
tyrannosaur's chest while (or after) the jaws went and feet went to work
subduing the prey.