I would certainly also do it. Paying AUD 190 to remove 1 letter from your first name (it is not even your last name) would be crazy. The generak rule is that up to 4 erroneous letters are allowed (don't ask me where I got this rule of thumb from as I don't know it).

The chance that the extra f in your first name will be an issue at check-in is very close to zero.

(just go to different check-in counter if one agent makes a fuss about it).