Even if you disallow executing anything outside of the .text section, you still need the syscall trap to protect against adversarial code which hides the instruction inside an immediate value:
foo: mov eax, 0xc3050f ;return a perfectly harmless constant
ret
...
call foo+1
(this could be detected if the tracing went by control flow instead of linearly from the top, but what if it's called through a function pointer?)