snails add waste to sand, not remove it. steps in post 2 is the right way, any other way is dirt capping which is what planted aquarists do to lock in nutrients.
the only animals that actually clean sand are so fast (sifters) they're kicking up the waste into the water for mech filtration to catch
it will not wreck your tank if you skip order of ops, its just unideal for algae battles that w come one day, this is an interception point you have. All that work you mentioned is whats required, since a detritus system isn't in place to prevent the sand from clouding or your current sand would already pass a drop test in tank like the tanks from our sand rinse thread (page 3 ish here).
any aquarium which you can reach in and grab sand, and drop it down and a massive clouding results, is an aquarium begging for carbon dosing/crutches one day.
diamond goby=sand cleaner
worms, pods, stars, snails, anything slow, are sand bioloaders contributing to the problem, even if they are turning over sand. not fast enough per our inputs in these small squares