docs: remove cross-SDK comparisons from two-leg flow

Author: atesgoral

docs/_client/authorization.md

@@ -180,8 +180,7 @@ provider = MCP::Client::OAuth::Provider.new(
 
 `callback_handler` keeps the flow open until the code comes back, so the process that sent the user to the authorization server stays blocked for as long as
 the user takes to sign in and consent. That suits CLI and desktop clients. In a web application the redirect arrives as a separate HTTP request, often served
-by a different process, and relaying the code to a request held open for that long is impractical. Omit `callback_handler` and the flow runs in two legs,
-as the TypeScript SDK's `auth()` and `finishAuth()` and the Rust SDK's `get_authorization_url` and `exchange_code_for_token` do:
+by a different process, and relaying the code to a request held open for that long is impractical. Omit `callback_handler` and the flow runs in two legs:
 
 1. When the transport meets a `401`, or a `403` step-up challenge, the flow runs discovery and registration as usual, saves a pending authorization in `storage`
    keyed by the `state` it generated, hands the authorization URL to `redirect_handler`, and raises `MCP::Client::OAuth::Flow::AuthorizationPendingError`

lib/mcp/client/oauth/in_memory_storage.rb

@@ -30,8 +30,9 @@ module OAuth
       # `client_information`, `save_client_information(info)`) and pass it via
       # `Provider.new(storage: ...)`. The shape mirrors Python SDK's
       # `TokenStorage` Protocol; TypeScript's `OAuthClientProvider` rolls
-      # the same responsibilities into a single object. A web application finishing authorizations in whichever process
-      # receives the redirect needs a shared store for the pending authorizations too, as the Rust SDK's `StateStore` does.
+      # the same responsibilities into a single object.
+      # A web application may receive the redirect in another process, so pending authorizations
+      # need shared storage.
       class InMemoryStorage
         attr_accessor :tokens, :client_information