When you read a whole line with plain read (or read -r or other options that don't affect this behavior), the kernel-provided line editor recognizes the Backspace key to erase one character, as well as a very few other commands (including Return to finish the input line and send it). The shortcut keys can be configured with the stty utility. The terminal is said to be in cooked mode when its line editor is active. In raw mode, each character typed on the keyboard is transmitted to the application immediately. In cooked mode, the characters are stored in a buffer and only complete lines are transmitted to the application.
In order to stop reading after a fixed number of characters so as to implement read -n, bash has to switch to raw mode. In raw mode, the terminal doesn't do any processing of the Backspace key (by the time you press Backspace, the preceding character has already been sent to bash), and bash doesn't do any processing either (presumably because this gives the greater flexibility of allowing the script to do its own processing).
You can pass the option -e to enable bash's own line editor (readline, which is a proper line editor, not like the kernel's extremely crude one). Since bash is doing the line edition, it can stop reading once it has the requested number of characters.