I agree. This is kind of a catch-all list because we’d be dealing with a potential wide range of experience levels. A troop of mostly younger Scouts can’t be expected to go backpacking or have lightweight gear on the first trek. A cooler, for example, may be a necessary transition item to get them through a year of “lightweight car camping” before they’re ready to hike everything in on their backs.
Lashing staves are more for practice during meetings; a CO might not like it if we dragged in a bunch of downed saplings and left bark all over the place.
Some is not even necessary for the first year. A few perhaps not at all. For example, some of the camping items are often used for car camping and might be "nice to have", but are not necessary. Lashing staves? I would suggest gathering some from the woods. In my experience they work better than the purchased ones anyway.
USA Archery Level 1 instructor level training is all you need (minimum) in order to be an Archery merit badge counselor:
"Archery. Archery activities must be supervised by a BSA National Camping School–trained shooting sports director or USA Archery or National Field Archery Association instructor, or by someone who has been trained by one of the three; or alternatively, the activities may be supervised by someone with at least Level 1 training in the operation of an archery range from USA Archery, NFAA, or an equivalent."
Lots of little things will come up as your scouts determine program elements.
Storage shelves, lighters/matches, candles, tables, whipping string, lumber for projects like klondike derby sleds and camp boxes.
If you all are doing a lot of acquatics: pfds, oars paddles.
If bicycling: helmets, pumps, repair kits.