Rather than trying to solve that communication problem, why not just label the menu with an actually descriptive icon? I assume that this icon is supposed to convey "there is a menu under here", via the horizontal bars abstractly representing menu items. But to me that's a vastly less clear visual language than even MacOS 6 offered me in the 80s, even limited to 16x16 black-and-white icons.
Menus are supposed to have titles so that you know what's in them, not just that there is something in them. It's especially obnoxious to see a hamburger menu next to other icons that happen to be for other menus. First off, this fails to convey that they even are menus, and not, say, buttons. But it's especially obnoxious trying to guess what menu items the hamburger menu might contain. Even if you decipher the other icons, you're left with speculating about all conceivable menu items, and then applying process of elimination.
How would you call a hamburger menu? "menu widget with three-or-sometimes-a-different-number-of little horizontal lines"?
As a backend developer you also have some jargon but you’re too used to it to notice it.