Guaranteed termination of a sound dependent type system is only useful as a mathematical property, not a practical one (yes, I know the mathematical consequences have practical benefit but I mean directly it doesn’t say anything about what a typical user thinks of as “termination”). You could still trivially write an algorithm at the type level which is Turing-complete in a practical sense.
For example, write a type that implements a Turing machine parameterized by a program and a natural number N of evaluation steps to take. Apply that type to Graham’s number or some suitably large natural number. You now have a type that is, for all practical purposes, Turing-complete, even though it is theoretically guaranteed to terminate.
