I'm not sure if most people can tell the difference between different Windows computer and laptop brands if the brand name or logos are covered up and they all use the same case, keyboard, mouse, and monitor since most Windows computers and Laptops with the same or almost the same parts like same amount of RAM, Same CPU Speed and Type, hard drive, and video card type feel the same when I use them even if they are made by different brands, and using the same versions of Windows like Windows XP.
It's a silly question, because you are saying hide/remove the brand name/logo and all the hardware like cases, keyboards, mouse, monitors etc all being the same as each other..... you are basically stripping away the brand itself. There is very little else, besides maybe the BIOS and a few bits within Windows that would identify the brand.
And personally I couldn't care less about the brand as long as the computer does what it's expected to do.
