I don't worry about my lipo one bit. But I could screw up and not realize it easy enough. I could get a bad pack and have no way of knowing it immediately. So a safe place to put your lipo is worth the effort.
Like I wear my seatbelt, like I have enough insurance to bury me, etc. I do whatever is easy to lessen risk. I LOVE a good fun risk. Risk because you are apathetic or lazy is patheticly stupid.
I also store my lipo in ammo cans. But I have drilled vent holes in the back of the can. The vents then point towards the fireplace, while the cans sit on a fireplace hearth. Tape over the holes preserves waterproof more or less, but will blow out if I ever have a big event. Theoretically any flame would shoot into the fireplace. In a house or shed, the holes could point to a less flamable thing, perhaps a scrap of sheetrock, perhaps a panel for setting woodstoves on wood floors, some tile backer board a few cinderblocks. Ammo box inside a metal cabinet maybe? Just not next to the old foam mattress eh?
Since it's winter, and won't be hot in there, I am storing 75% of my lipo stash inside an old refrigerator in the yard. Perks of property ownership, I can have a junkyard. Too hot there in summer, but lots of room on the fireplace hearth in summer.
To the op, I'd say just make a fire resistant place to put the pack while you are gone in the shed. Metal cabinet or toolbox, loose stacked cinderblock enclosure, even just a little chest built from a few sticks and some sheetrock would likely be enough to contain a small fire. If it goes big of course, it won't be enough. But most likely would be just a pack gets hot and puffs some, but no fireball.