Stomach HCL helps to cleave bound iodine-amino acid chains to facilitate iodine absorption. Iodine can be absorbed throughout the intestinal tract, so someone who was missing a stomach would still be able to absorb iodine. The stomach is one of the organs that concentrate iodine absorption, so there may be some decrease in absorption rates.
Short-chain iodopeptides might still be absorbed in the absence of stomach HCL, but you could anticipate some decrease in absorption of long-chain iodopeptides.
Low HCL can affect absorption of iron, selenium, and zinc which play a role in iodine's function in the body.
Meats containing iodine require sufficient levels of HCL.