Thank you both for the replies. I spoke to customer
service and got some clarity. The inline fuse is a 1 amp fuse. There is nothing preventing me from running it to either the panel or the battery, it just still needs the one amp in-line fuse.
My choice would be to run it to the battery with the in-line fuse pig tail connecting to the battery buss bar so the fuse is easy to find (and easier to wire).
or
Wire to the panel and put the in line fuse closer to the
monitor, which will be mounted in the counter top of the
head. That means the fuse will be hidden under there and need to be remembered if it trips.