Protocol can only be used as a generic constraint because it has Self or associatedType requirements

Suppose for the moment we adjust your protocol to add a routine that uses the associated type:

public protocol RequestType: class {
    associatedtype Model
    var path: String { get set }

    func frobulateModel(aModel: Model)
}

And Swift were to let you create an array of RequestType the way you want to. I could pass an array of those request types into a function:

func handleQueueOfRequests(queue: [RequestType]) {
    // frobulate All The Things!

    for request in queue {
       request.frobulateModel(/* What do I put here? */)
    }
}

I get down to the point that I want to frobulate all the things, but I need to know what type of argument to pass into the call. Some of my RequestType entities could take a LegoModel, some could take a PlasticModel, and others could take a PeanutButterAndPeepsModel. Swift is not happy with the ambiguity so it will not let you declare a variable of a protocol that has an associated type.

At the same time it makes perfect sense to, for example, create an array of RequestType when we KNOW that all of them use the LegoModel. This seems reasonable, and it is, but you need some way to express that.

One way to do that is to create a class (or struct, or enum) that associates a real type with the abstract Model type name:

class LegoRequestType: RequestType {
  typealias Model = LegoModel

  // Implement protocol requirements here
}

Now it’s entirely reasonable to declare an array of LegoRequestType because if we wanted to frobulate all of them we know we would have to pass in a LegoModel each time.

This nuance with Associated Types makes any protocol that uses them special. The Swift Standard Library has Protocols like this most notably Collection or Sequence.

To allow you to create an array of things that implement the Collection protocol or a set of things that implement the sequence protocol, the Standard Library employs a technique called “type-erasure” to create the struct types AnyCollection<T> or AnySequence<T>. The type-erasure technique is rather complex to explain in a Stack Overflow answer, but if you search the web there are lots of articles about it.

I can recommend a video from Alex Gallagher on Protocols With Associated Types (PATs) on YouTube.