Re: People move around shocker !
I disagree about local production being the most likely explanation and this is why. What we see with the emergence of iron on the Atlantic seaboard in the LBA is artefacts that are not only made of iron, but also include steel that's been quenched and tempered. There are several technological leaps here from bronze working, all of which were by that time well established in the eastern Mediterranean and Anatolia. Bronze was still in widespread use, so copper and tin deposits like those in Britain/Ireland and Spain were being worked and traded into the Mediterranean. If you have traders from either place going to the other, or a chain of trade going on, then would you not likely see the new "wonder metal" being traded westwards as the copper and tin was traded east?
There will have been a point where iron and steel making did start on the Atlantic seaboard, but... first of all, you have the difference in bloomery iron making that what comes out of the furnance is not a castable liquid, but a grotty-looking sponge of iron and slag, that you then need to keep heating and beating until most of the slag has gone and you have a bar of iron you can make something out of. Secondly, you have to know that some bits of this iron are harder than others, and if you take those, drop them into water while they're red hot, then gently re-heat them until certain colours show, you get something that's a lot harder than regular iron but doesn't shatter (which it will if you hit it straight after dropping it into water). Finally, you need to be able to forge-weld that harder stuff onto regular iron, and there's a very narrow temperature range just below white hot at which that can be done otherwise your precious hard stuff turns into a sparkler and burns away, or the weld doesn't take and the cutting edge falls off your tool/weapon when you try to use it.
Given all of that, for the very earliest iron artefacts on the western fringes of Europe which show that they were steeled and quenched and tempered, I think there are rather fewer assumptions involed in them having been traded in.