And, in case you're wondering "heavy metals bio-accumulate in ocean fish to questionable levels; could heavy metals bio-accumulate in seaweed to a dangerous level?", tl;dr: probably not to dangerous levels, but not certain.
"Distribution of metals and metalloids in dried seaweeds and health risk to population in southeastern China"[0]:
> Concern about metals and metalloids, especially heavy metals in seaweeds has risen due to potential health risk. This study investigated the distribution of 10 metals and metalloids in 295 dried seaweeds (brown and red) and estimated the possible health risk via hazard index (HI). > ... > The estimate of health risk showed that there was low health risk for potential toxic elements by intake of these seaweeds.
(I've gotta say, that article doesn't seem entirely convincing. This is probably the first article of this format I've read before, so I might be totally off-base, but the error bars in their data[1] are huge. Given that the article literally has "health risk to population in southeastern China" in the title, I'm skeptical whether the article is intentional fluff/propaganda science.)
[0]: https://www.nature.com/articles/s41598-018-21732-z (full text) [1]: https://www.nature.com/articles/s41598-018-21732-z/tables/2 (data)