Dynamic typing refers to checking of types at runtime. JS does not do this consistently or effectively. Python does.
The typeof operator cannot be the basis of a type system since you can count all the answers it gives on your fingers. JS needs a bunch of extra functions like Array.isArray() to determine if something is an array or not. The language itself has no clue, everything that isn't a primitive is just an "object" as far as JS is concerned.
For the rest I don't understand how anybody can seriously make the argument that JS has no types. Shell scripts have no types because almost everything is a character string and that's it. JS type system is very limited but it does exist and I don't see how it can be used to justify {} + [] = 0, which is where we started (especially given that {} and [] are objects in JS, but 0 is a "number", so different core types). Adding two objects and getting a number is not a limitation of the type system, it's a conscious decision by the designers (or at least the side effect of one).
Those two attributes are mostly orthogonal.