Keyboard cycling thru Tool options?

For any given Tool button that has the little triangle in the lower right, is there a standard way to cycle thru the options for that Tool via the keyboard?

For instance, in Photoshop this is accomplished by hitting the hotkey+Shift for that tool repeatedly.

(IMO the SHIFT is overkill: if a tool is already selected, simply hitting the hotkey again should be adequate.)

Yep, assign your hotkey and check the ‘cycle’ box.

You can use this add-on, which creates an operator that cycles currently active tool:

bl_info = {
    "name": "Cycle Active Tool",
    "author": "Stan_Pancakes",
    "version": (1, 0, 0),
    "description": "",
    "blender": (2, 80, 0),
    "location": "",
    "warning": "",
    "category": "Interface",
}

import bpy

class CycleActiveTool(bpy.types.Operator):
    bl_idname = "wm.cycle_active_tool"
    bl_label = "Cycle Active Tool"
    
    @classmethod
    def poll(cls, context):
        type = context.area.type
        return type == 'VIEW_3D' or type == 'NODE_EDITOR' or type == 'IMAGE_EDITOR'
    
    def execute(self, context):
        area_type = context.area.type
        tools = context.workspace.tools
        id = None
        if area_type == 'VIEW_3D':
            id = tools.from_space_view3d_mode(context.mode, create=False).idname
        elif area_type == 'NODE_EDITOR':
            id = tools.from_space_node(create=False).idname
        elif area_type == 'IMAGE_EDITOR':
            id = tools.from_space_image_mode(context.area.ui_type, create=False).idname
        if not id:
            return {'CANCELLED'}
        return bpy.ops.wm.tool_set_by_id(name=id, cycle=True)
    
def register():
    bpy.utils.register_class(CycleActiveTool)
    
def unregister():
    bpy.utils.unregister_class(CycleActiveTool)

and then assign hotkeys in 3D View (Global), Image → UV Editor and Node Editor. For example, like this:

image

The Industry Compatible keymap is already set up this way. The built-in keymap also works like this - press W repeatedly to cycle selection tools.