Got at least one data fetching method working; turns out, we can't use a patched LogicStack to get the data

Vendor/EmbedIO-3.5.2/Routing/RouteVerbResolver.cs

@@ -0,0 +1,30 @@
+using System;
+
+namespace EmbedIO.Routing
+{
+    /// <summary>
+    /// Handles a HTTP request by matching it against a route,
+    /// possibly handling different HTTP methods via different handlers.
+    /// </summary>
+    public sealed class RouteVerbResolver : RouteResolverBase<HttpVerbs>
+    {
+        /// <summary>
+        /// Initializes a new instance of the <see cref="RouteVerbResolver"/> class.
+        /// </summary>
+        /// <param name="matcher">The <see cref="RouteMatcher"/> to match URL paths against.</param>
+        /// <exception cref="ArgumentNullException">
+        /// <para><paramref name="matcher"/> is <see langword="null"/>.</para>
+        /// </exception>
+        public RouteVerbResolver(RouteMatcher matcher)
+            : base(matcher)
+        {
+        }
+
+        /// <inheritdoc />
+        protected override HttpVerbs GetContextData(IHttpContext context) => context.Request.HttpVerb;
+
+        /// <inheritdoc />
+        protected override bool MatchContextData(HttpVerbs contextVerb, HttpVerbs handlerVerb)
+            => handlerVerb == HttpVerbs.Any || contextVerb == handlerVerb;
+    }
+}