These fuse questions are nearly all the same.
A. Do you wire the inverter for what it is rated for including surge? or just what it is rated for continuous?
B. Do you wire the inverter only for as much load as you will ever be running?
C. You do fuse for the wire you did actually use, whatever you chose for wire.
D. The fuse must go near the battery positive post--some rules say "within 18". What if the inverter-battery wire is only 18" long?--no fuse and let the wire be the fuse?
E. Slow blow vs fast blow fuse--you want a slow blow so short surges won't blow it---so then back to A.--do you fuse for surge if it will only be so short your slow blow fuse won't blow anyway?
F. If the wire is all up front and visible so you can see if it is melting or at least turning a burnt sort of colour, do you even need a fuse, where you certainly would if the wire went through a wall out of sight-- and if it melted inside the wall.
Some inverter specs call for more of a fuse and fatter wire for the same size of inverter than others. Seems to turn on whether to wire and fuse for surge or not where surge is often twice the normal rating.