So here's my suggestion. Keep it all, but make Short Rests cost Camping supplies. 1 camp supply per party member per level to short rest. So, 4 party members at level 4 = 16 camp supplies. 2 short rests = 32. So, players then now have a reason to keep some food/supplies on them as opposed to just putting it all in camp.
Then, make it 2 camp supplies per individuals at camp per level per long rest. So, let's say you have 6 at camp, all at level 4 and you long rest = 48 camp supplies.
Then, make character with highest Survival skill make a roll. If succeed, camp supply cost per rest is halved. If fail, full cost.
This creates strategy for managing camp supplies and gives more value to Survival skill. How many will you need on you or risk taking with you knowing you will be weighed down by supplies but knowing you might need food to short rest, but if your skill is high enough you might risk taking less hoping to utilize your skill to get by with less.
This also makes food spells like goodberry more valuable.
As for useless items, give them meaning via crafting. Spoons, plates, knives etc. Can be melted down and hammered into weapons, thus used as crafting materials. Don't have them on you when you are at a workbench? Too bad. Should have maybe carried a few around with you. Thus, strategy and purpose are created. How many do you send back versus keep on you in case you might need them for crafting purposes.
