No, LSPs return the name/metadata of a concrete type. Dependent typing means that the return type of any given function in your (static) program can depend on a runtime value, e.g. user input... In well-defined ways ofc.
I can make literally any language support dependent types that have struct, enum, switch, and assert. You make a boxed type (tagged union, algebraic datatype, variant, discriminated union, fucking, whatever), and just assert whenever you pack/unpack it on function entry/exit. I do this all the time.
In plain English, my quip boils down to 'why do we tolerate network requests in our syntax highlighters, when we don't tolerate them in our compiler frontends?'
If I waited for one that spoke the c abi so someone could load it via dll instead of http, well, I'd still be waiting.