Since I'm getting downvoted so I'll evidence my point a little more:
Bash source for the ^L hotkey: https://git.savannah.gnu.org/cgit/bash.git/tree/lib/readline...
Notice it's calling termcap:
_rl_clear_screen (0); /* calls termcap function to clear screen */
So lets look at what termcap does:
$ tput clear | hexdump -c
0000000 033 [ H 033 [ 2 J
0000007
Which isn't the ASCII character ^L (0xC) but instead an ANSI escape code (CSI sequence, to be exact)
https://en.wikipedia.org/wiki/ANSI_escape_code#CSI_(Control_...The actual ASCII character for ^L is form feed, (FF: https://www.ascii-code.net) which does serve a similar function but designed for old printers: https://en.wikipedia.org/wiki/Page_break#Form_feed
It doesn't actually clear the screen on modern TTYs. You can try this yourself:
$ printf "\f"
$ awk 'BEGIN{printf "%c", 12}'
$
Notice how each time it's effectively doing the same as \n?
So in conclusion, ^L clearing the screen isn't something built into the TTY. It's just a hot key like ^U.
There are some hot keys are are driven by the TTY though. ^C, for example. When you press ^C you're not actually sending the 0x3 ASCII character to the controlling process, your TTY gobbles that up and sends a signal to the controlling process instead (albeit this behaviour can be changed by altering the TTYs mode, which requires making a SYSCALL).
So here we've discussed ANSI escape codes, signals and SYSCALLs. However none of these interactions are ASCII characters despite how they're depicted in printed media. Suffice to say, terminals are complicated :)