With just soaking, did you have phosphate issues?
I thought about doing an acid wash as well, but after seeing how it ate away the other rock I acid washed, I decided to just cure it instead. During the 6 weeks of cure, I changed the water 100% about every other day for the first week or so...then did 75% water changes for the rest of the time about once a week...hence the reason I used freshwater and not saltwater (I wasn't concerned with building nitrifying bacteria at that time). It leached out quite a few phosphates...I put in a small bag of Phosguard during the cure to keep the phosphates from absorbing back into the rock. At about the 6 week period, the phosphates had leveled out and so I stopped the cure. I was so delayed on setting up my system, that I could have gone ahead and cycled the rock as well in the bin, lol. But, I knew I was going to let it all dry out again so I could play with different "dry" aquascaping ideas!
After my actual cycling of my aquarium, my phosphates were elevating a bit...around 0.20 with a Hanna phosphate checker. So, toward the end of my cycle, I put another small bag of phosguard in the sump just under my drain outlet. I changed this about once a week. The phosphates went down to around 0.06 and leveled off... But, then came the regular tank uglies once I turned on my DT lights...and that's when the green algae started to hit some. Well, those phosphates are down to zero now...which with that particular checker accuracy is around +/- 0.04. I also started some chaeto in my refug after the cycle...that helped to reduce the nutrients some.
I bet you are just fine with the bleaching you have already done! I would hesitate to acid wash the pukani...I think it will damage the beauty of this particular rock! If I were you...since you already bleached the rock, I would put the rock in a tote with "freshwater", heater (heat up to around 85 degrees), and a powerhead. Then, let it sit for about a week...then, test for ammonia and phosphates! If you get ammonia, then there were still some organics that needed to break down...which will probably be low enough that it would be good for your bacteria cycle eventually anyhow. If you are getting phosphates...measure how much and then repeat the testing several days later to see if it is stabilized or still elevating. Some use Lantham Chloride (I think that's correct) to control phosphates during a cure...I've never tried that...the Phosguard worked for me (and my LFS guy doped me into buying a big container of it, lol).