diff --git a/manimlib/mobject/mobject.py b/manimlib/mobject/mobject.py
index 9d15fbad..13acbdad 100644
--- a/manimlib/mobject/mobject.py
+++ b/manimlib/mobject/mobject.py
@@ -40,6 +40,7 @@ from manimlib.utils.bezier import integer_interpolate
 from manimlib.utils.bezier import interpolate
 from manimlib.utils.paths import straight_path
 from manimlib.utils.simple_functions import get_parameters
+from manimlib.utils.simple_functions import get_num_args
 from manimlib.utils.shaders import get_colormap_code
 from manimlib.utils.space_ops import angle_of_vector
 from manimlib.utils.space_ops import get_norm
@@ -51,7 +52,7 @@ SubmobjectType = TypeVar('SubmobjectType', bound='Mobject')
 
 
 if TYPE_CHECKING:
-    from typing import Callable, Iterator, Union, Tuple, Optional
+    from typing import Callable, Iterator, Union, Tuple, Optional, Any
     import numpy.typing as npt
     from manimlib.typing import ManimColor, Vect3, Vect4, Vect3Array, UniformDict, Self
     from moderngl.context import Context
@@ -831,9 +832,9 @@ class Mobject(object):
     # Updating
 
     def init_updaters(self):
-        self.time_based_updaters: list[TimeBasedUpdater] = []
-        self.non_time_updaters: list[NonTimeUpdater] = []
-        self.has_updaters: bool = False
+        self.time_based_updaters: list[TimeBasedUpdater] = list()
+        self.non_time_updaters: list[NonTimeUpdater] = list()
+        self._has_updaters_in_family: Optional[bool] = False
         self.updating_suspended: bool = False
 
     def update(self, dt: float = 0, recurse: bool = True) -> Self:
@@ -848,36 +849,23 @@ class Mobject(object):
             updater(self)
         return self
 
-    def get_time_based_updaters(self) -> list[TimeBasedUpdater]:
-        return self.time_based_updaters
-
-    def has_time_based_updater(self) -> bool:
-        return len(self.time_based_updaters) > 0
-
     def get_updaters(self) -> list[Updater]:
-        return self.time_based_updaters + self.non_time_updaters
+        return [*self.time_based_updaters, *self.non_time_updaters]
 
-    def get_family_updaters(self) -> list[Updater]:
-        return list(it.chain(*[sm.get_updaters() for sm in self.get_family()]))
-
-    def add_updater(
-        self,
-        update_func: Updater,
-        call_updater: bool = True
-    ) -> Self:
-        if "dt" in get_parameters(update_func):
+    def add_updater(self, update_func: Updater, call: bool = True) -> Self:
+        if get_num_args(update_func) > 1:
             self.time_based_updaters.append(update_func)
         else:
             self.non_time_updaters.append(update_func)
 
-        if call_updater:
+        if call:
             self.update(dt=0)
 
         self.refresh_has_updater_status()
         return self
 
     def insert_updater(self, update_func: Updater, index=0):
-        if "dt" in get_parameters(update_func):
+        if get_num_args(update_func) > 1:
             self.time_based_updaters.insert(index, update_func)
         else:
             self.non_time_updaters.insert(index, update_func)
diff --git a/manimlib/scene/scene.py b/manimlib/scene/scene.py
index c15682fb..a80d1866 100644
--- a/manimlib/scene/scene.py
+++ b/manimlib/scene/scene.py
@@ -345,17 +345,9 @@ class Scene(object):
             mobject.update(dt)
 
     def should_update_mobjects(self) -> bool:
-        return self.always_update_mobjects or any([
-            len(mob.get_family_updaters()) > 0
-            for mob in self.mobjects
-        ])
-
-    def has_time_based_updaters(self) -> bool:
-        return any([
-            sm.has_time_based_updater()
-            for mob in self.mobjects()
-            for sm in mob.get_family()
-        ])
+        return self.always_update_mobjects or any(
+            mob.has_updaters() for mob in self.mobjects
+        )
 
     # Related to time
 
diff --git a/manimlib/utils/simple_functions.py b/manimlib/utils/simple_functions.py
index 33997857..7c7fa211 100644
--- a/manimlib/utils/simple_functions.py
+++ b/manimlib/utils/simple_functions.py
@@ -9,7 +9,7 @@ import numpy as np
 
 from typing import TYPE_CHECKING
 if TYPE_CHECKING:
-    from typing import Callable, TypeVar
+    from typing import Callable, TypeVar, Iterable
     from manimlib.typing import FloatArray
 
     Scalable = TypeVar("Scalable", float, FloatArray)
@@ -30,11 +30,11 @@ def gen_choose(n: int, r: int) -> int:
 
 
 def get_num_args(function: Callable) -> int:
-    return len(get_parameters(function))
+    return len(list(get_parameters(function)))
 
 
-def get_parameters(function: Callable) -> list:
-    return list(inspect.signature(function).parameters.keys())
+def get_parameters(function: Callable) -> Iterable[str]:
+    return inspect.signature(function).parameters.keys()
 
 # Just to have a less heavyweight name for this extremely common operation
 #