### Godot version

4.2.beta.custom_build [51f81e1c8]

### System information

macOS 11.0+

### Issue description

I could sense a recent merging of a few pull requests on here:

<img width="865" alt="image" src="https://github.com/godotengine/godot/assets/1129695/1cf7d144-a4d2-4514-abca-1405222e702a">

This bug has the following related merges as the most recent ones:

https://github.com/godotengine/godot/pull/80813
https://github.com/godotengine/godot/pull/80939

The pull requests are for reviving onion-skinning capabilities, but this causes a minor unexpected result (see Steps to reproduce)



### Steps to reproduce

## A. Use 4.2.beta.custom_build [51f81e1c8]

1. Obtain the attached minimal reproduction project
2. Select the AnimationPlayer node
<img width="1468" alt="image" src="https://github.com/godotengine/godot/assets/1129695/ca16d7a6-7690-45b4-b8f9-b12fded64ca4">
3. In the Animation panel, click "Edit" to find your shortcuts for "Go to Next Step" and "Go to Previous Step"
<img width="410" alt="image" src="https://github.com/godotengine/godot/assets/1129695/a708e196-2eb9-42ea-bf0e-fd0aa88a9e60">
4. Use the shortcuts to spam go back and forth the animation

Expected result: animation goes smoothly

https://github.com/godotengine/godot/assets/1129695/c24c498c-7f77-4cc9-a1c9-a1627d89c58b



Actual result: animation jumps crazily


https://github.com/godotengine/godot/assets/1129695/947bf5b4-a0ab-42d4-bb5b-201800b4bdc6


https://github.com/godotengine/godot/assets/1129695/65303cd0-8c2d-4a35-9d16-c94752ac2e3a




## B. My successful yet unverified fix attempt on 4.2.beta.custom_build [51f81e1c8]

Either by:

<img width="831" alt="image" src="https://github.com/godotengine/godot/assets/1129695/80d167ae-27e7-4ec4-a4c9-ffc7adc0353f">


Or by:

<img width="806" alt="image" src="https://github.com/godotengine/godot/assets/1129695/2bae8697-8ef3-48dc-9f0a-2b5fe568ed43">


I don't see any negative impact on Onion Skinning or other functions by the above fix attempt, but I am not sure, I need someone to help me verify this.



### Minimal reproduction project

[gd_anim_unittest_1.zip](https://github.com/godotengine/godot/files/12909805/gd_anim_unittest_1.zip)






track_editor->set_anim_pos(player->get_current_animation_position());
				stop->set_icon(stop_icon);
			}
			last_active = player->is_playing();
			updating = false;
		} break;
		case NOTIFICATION_ENTER_TREE: {
			tool_anim->get_popup()->connect(SNAME("id_pressed"), callable_mp(this, &AnimationPlayerEditor::_animation_tool_menu));
			onion_skinning->get_popup()->connect(SNAME("id_pressed"), callable_mp(this, &AnimationPlayerEditor::_onion_skinning_menu));
			blend_editor.next->connect(SNAME("item_selected"), callable_mp(this, &AnimationPlayerEditor::_blend_editor_next_changed));
			get_tree()->connect(SNAME("node_removed"), callable_mp(this, &AnimationPlayerEditor::_node_removed));
			add_theme_style_override("panel", EditorNode::get_singleton()->get_editor_theme()->get_stylebox(SNAME("panel"), SNAME("Panel")));
		} break;
		case EditorSettings::NOTIFICATION_EDITOR_SETTINGS_CHANGED: {
			add_theme_style_override("panel", EditorNode::get_singleton()->get_editor_theme()->get_stylebox(SNAME("panel"), SNAME("Panel")));
		} break;
		case NOTIFICATION_TRANSLATION_CHANGED:
		case NOTIFICATION_LAYOUT_DIRECTION_CHANGED:
		case NOTIFICATION_THEME_CHANGED: {
			stop_icon = get_editor_theme_icon(SNAME("Stop"));
			pause_icon = get_editor_theme_icon(SNAME("Pause"));
			if (player && player->is_playing()) {
				stop->set_icon(pause_icon);
			} else {
				stop->set_icon(stop_icon);
			}
			autoplay->set_icon(get_editor_theme_icon(SNAME("AutoPlay")));
			play->set_icon(get_editor_theme_icon(SNAME("PlayStart")));
			play_from->set_icon(get_editor_theme_icon(SNAME("Play")));
			play_bw->set_icon(get_editor_theme_icon(SNAME("PlayStartBackwards")));