Should a tkinter button always have a variable as a name?

I can make a tkinter button like this:

button1 = ttk.Button(root, text = "Button 1", command=lambda: button_click(button1))

or in a loop like this:

tk.Button(root, text=f"Button {i}", command=lambda x=i: button_click(x)).pack()

But the second button does not have a variable name like button1. Therefore, I can't access it by name:

def button_click(button):
        button_text = button.cget('text')
        ttk.Label(root, text = button_text).pack()

Or does the second button actually have a tkinter default name when created in a loop like this?

You can use the first one even in a for loop:

def button_click(button):
    ttk.Label(root, text=button["text"]).pack()

for i in range(1, 5):
    btn = tk.Button(root, text=f"Button {i}")
    btn.pack()
    btn.config(command=lambda btn=btn: button_click(btn))