For bushwalking, you should download the online map(s) to offline map(s). Many apps have the ability to do this (if yours does not, find a better app!
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Having said that, the HTTP cache will automatically cache maps most of the time in some apps, even if the app doesn't explicitly provide for downloading to an offline version of the map. So you could browse the entire area of interest at all zoom levels of interest before leaving the good/reliable network, and while connected to power, and then it should all be available later... so long as the cache isn't purged, overwritten, or expired. But I wouldn't rely on such a cache - they are designed to be volatile.
Even with maps explicitly downloaded to safe offline copies, simply viewing them uses considerable power (regardless of airplane mode and using no networking). Having the screen on is probably the most power-draining thing your phone can do, apart from its radio operations (cellular, wifi, bluetooth).
I've done 6-day walks using phone GPS and navigation about 10 years ago. No trouble with the battery. But this was with the phone in airplane mode, switched off overnight, and using it only sparingly.
I wouldn't expect the phone to last more than a couple of days with the cellular network on. Even if you weren't using online maps, just having the network on drains the battery in a few days. Actually using that network will drain it faster still.
On Mobile Phone Reception:You cannot get any signal at all in most bushwalking areas in Tasmania, including much of the central plateau, unless you are on a summit, ridge, pass or other high place. Eg, I found that I got fairly good reception at Damascus Gate in the Walls of Jerusalem. But it's only available for a few short metres either side of the high point there, then nothing once you descend a few metres. (Of course on most of the other mountain tops in the area it would also be OK).
I certainly would not expect a near-continuous signal in any of the areas I usually bushwalk in Tasmania. Even many of the places where a signal can be picked up on a mountain top, it is just enough to send a message. Not enough to make a phone call, or use network data.
See some anecdata on some spots where people on the forums have reported reception (mostly from ~10-12 years ago) at:
viewtopic.php?f=21&t=415