Yes I should love some seaweed like that.
Seagull, I do not have experience of composting seaweed, think its more green than brown so adding some dry. older material seems a good plan, straw as above. Or you can mulch soil with it, especially asparagus and seakale.
Tris, yes its going well, early days for assessing the shredded results but the quantity of compost is more than last year.