Zed for me on my Linux machine opened to a massive C++ project (the Ladybird browser if you were curious) is (not including LSP or extension processes) using around 480MB of memory.
VSCode on the other hand with nothing open but a 20 line JSON file is (again not including any LSP or extension processes) using around 920MB of memory as reported by its own builtin task manager thing.
I suppose 480MB for a text editor might be a tad high but calling it worse than VSCode is a massive stretch.