We have had several guys iodine deficient using "pink salt".
Sea water contains iodine, but iodine is lost during crystallization. Many rock salts suffer the same fate.
I found a website that reports the results of a spectral analysis of Himalayan salt. I think this is where the claim comes from. Even if this analysis is accurate, it is meaningless for health and if anything is worrisome. The amount of minerals in it is too minuscule to make any difference, and we already get plenty of the same trace minerals from other foods. They claim that two double-blind studies were done, but no such studies are listed in PubMed. There is no evidence published in peer-reviewed journals that replacing white salt with pink salt makes a shred of difference or leads to any improvement in health.
I do not think that you can find a analysis that shows a useful amount of iodine in pink salt.
When you see something like "Iodine I <0.1 g/kg" that can mean that the level was below the analytical detection limit. Zero is also < 0.1g/kg.
Zoom in on front label https://www.iherb.com/pr/Real-Salt-Fine-Salt-26-oz-737-g/40626
and note "this salt does not contain iodine ..." not enough to matter.
"Real Salt" was what started my thyroid issues, when my wife purchased it and she saw that iodine was listed with many leading zeros.