I don't see how sea salts cannot increase blood pressure. A salt solution will attract water regardless if its table salt or sea salt. Its a chemical property of any ion, so I don't agree with that statement. Aluminum has no effect on blood pressure.
I read those two sources and didn't find anything about blood pressure. Also, they were both advertisements, not the best sources. Fuck, if I was selling sea salts I would be singing a different tune.
Lastly, Iodized was brought up. I don't see why that is bad. They just put iodine in it so man can get his iodine without eating sea food. Iodine is needed for the thyroid, and without it the thyroid will realize it isn't producing enough thyroid hormone, and grow in size in order to attempt to accomplish producing more. This is called a goiter. I am pretty sure that most people in the US, especially people in the states that aren't large fishing states, get the VAST majority of their iodine from salt. Similar to adding vitamin D in milk, its a good thing.