I tried an interesting approach.
I saw a guy on youtube use vinegar as an acid instead of going the muratic acid way. It makes sense. Muratic acid is just used to dissolve the surfaces of the rock to remove the organics, not kill them. And vinegar dissolves calcium.
I threw some old rock in a bin with about 20g of tap water. Added about 3/4 of a gal. of vinegar. This was a really light concentration, so I left it soaking (with heater and a couple power heads) for about 3-4 weeks. I actually forgot about it.
Today I just emptied out the water. There was all kinds of things pouring out with the water. My guess was organics that got released. The water had that same sulfur smell like when you cure rock naturally. my 7 yo daughter was watering her plants and said to me, with a frustrating tone, "that smells like eggs!"
I set the rocks on my walkway and hosed them down. A milky layer easily came off of all the rocks and they looks so much cleaner. I could probably just continue curing for another month in heated, circulated saltwater, but I put them in some bleach (1g bleach to 10g water) just for good measure.
There is a noticable difference in the rocks as I've lost some material from it dissolving in the vinegar. I personally don't like the idea of losing rock material for the sake of removing some organics with it. My thinking on it is, the rock will still have to go through a curing cycle because of the left over organics. And it doesn't mater if its a little or a lot, It still takes the same amount of time to do it. But it is a possible alternative for those who do want a really clean looking rock but don't want to deal with muratic acid. It's even safer than the bleaching phase, it's just diluted vinegar! Either way, it's pretty cool to try it, even once.