diff --git a/pyinfra/server/server.py b/pyinfra/server/server.py
index 16945ee..42ab636 100644
--- a/pyinfra/server/server.py
+++ b/pyinfra/server/server.py
@@ -25,32 +25,31 @@ def make_streamable_and_wrap_in_packing_logic(fn, batched):
     return fn
 
 
-class LazyProcessor:
-    """Accepts computation requests (push) and lazily produces results (pop)."""
-    def __init__(self, flat_stream_buffer: FlatStreamBuffer):
+class QueuedFunction:
+    def __init__(self, fn):
         self.queue = Queue()
-        self.flat_stream_buffer = flat_stream_buffer
+        self.fn = fn
 
     def push(self, item):
         self.queue.append(item)
 
     def pop(self):
         items = stream_queue(self.queue)
-        return first(self.flat_stream_buffer(items))
+        return self.fn(items)
 
 
 class LazyRestProcessor:
-    def __init__(self, lazy_processor: LazyProcessor, submit_suffix="submit", pickup_suffix="pickup"):
+    def __init__(self, queued_function: QueuedFunction, submit_suffix="submit", pickup_suffix="pickup"):
         self.submit_suffix = submit_suffix
         self.pickup_suffix = pickup_suffix
-        self.lazy_processor = lazy_processor
+        self.queued_function = queued_function
 
     def push(self, request):
-        self.lazy_processor.push(request.json)
+        self.queued_function.push(request.json)
         return jsonify(request.base_url.replace(self.submit_suffix, self.pickup_suffix))
 
     def pop(self):
-        result = self.lazy_processor.pop() or Nothing
+        result = self.queued_function.pop() or Nothing
 
         if not valid(result):
             logger.error(f"Received invalid result: {result}")
@@ -71,9 +70,9 @@ def valid(result):
     return isinstance(result, dict) or result is Nothing
 
 
-def set_up_processing_server(lazy_processor: LazyProcessor):
+def set_up_processing_server(queued_function: QueuedFunction):
     app = Flask(__name__)
-    processor = LazyRestProcessor(lazy_processor, submit_suffix="submit", pickup_suffix="pickup")
+    processor = LazyRestProcessor(queued_function, submit_suffix="submit", pickup_suffix="pickup")
 
     @app.route("/ready", methods=["GET"])
     def ready():
diff --git a/test/fixtures/server.py b/test/fixtures/server.py
index 393e653..7fa4ebb 100644
--- a/test/fixtures/server.py
+++ b/test/fixtures/server.py
@@ -6,11 +6,11 @@ import fitz
 import pytest
 import requests
 from PIL import Image
-from funcy import retry
+from funcy import retry, first, compose
 from waitress import serve
 
 from pyinfra.server.bufferizer.lazy_bufferizer import FlatStreamBuffer
-from pyinfra.server.server import set_up_processing_server, make_streamable_and_wrap_in_packing_logic, LazyProcessor
+from pyinfra.server.server import set_up_processing_server, make_streamable_and_wrap_in_packing_logic, QueuedFunction
 from pyinfra.utils.func import starlift
 from test.utils.image import image_to_bytes
 
@@ -39,8 +39,8 @@ def url(host, port):
 @pytest.fixture
 def server(processor_fn, buffer_size):
     flat_stream_buffer = FlatStreamBuffer(processor_fn, buffer_size=buffer_size)
-    lazy_processor = LazyProcessor(flat_stream_buffer)
-    return set_up_processing_server(lazy_processor)
+    queued_function = QueuedFunction(compose(first, flat_stream_buffer))
+    return set_up_processing_server(queued_function)
 
 
 @pytest.fixture
diff --git a/test/unit_tests/server/stream_buffer_test.py b/test/unit_tests/server/stream_buffer_test.py
index fb43386..ce6efa8 100644
--- a/test/unit_tests/server/stream_buffer_test.py
+++ b/test/unit_tests/server/stream_buffer_test.py
@@ -3,14 +3,15 @@ from funcy import repeatedly, takewhile, notnone, lmap, lmapcat
 
 from pyinfra.server.bufferizer.lazy_bufferizer import FlatStreamBuffer, StreamBuffer
 from pyinfra.server.dispatcher.dispatcher import Nothing
-from pyinfra.server.server import LazyProcessor
+from pyinfra.server.server import QueuedFunction
 from pyinfra.utils.func import lift, foreach
 
 
 @pytest.fixture
-def func():
+def func(one_to_many):
     def fn(x):
-        return x ** 2
+        y = x ** 2
+        return y if not one_to_many else (y, y)
 
     return fn
 
@@ -38,9 +39,9 @@ def test_flat_stream_buffer(func, inputs, outputs, buffer_size):
     assert list(flat_stream_buffer([])) == []
 
 
-def test_lazy_processor(func, inputs, outputs):
-    stream_buffer = FlatStreamBuffer(lift(func))
-    lazy_processor = LazyProcessor(stream_buffer)
+def test_queued_function(func, inputs, outputs):
+
+    lazy_processor = QueuedFunction(lift(func))
 
     foreach(lazy_processor.push, inputs)