Yeah, dodging the rules that are designed to safeguard yourself; other road users and adjacent humans; and reduce emissions, by calling a consumer vehicle a "light truck" is not a good look. I rather suspect that at some point this will get more scrutiny from legislators, at least in the EU. (Not getting at you, just a commentary on a sad state of affairs).
We don't know, because we do not know which elements of non-compliance with EU homologation rules that Tesla apparently disregarded during the design stage. It may be that it is something trivial to work around. I guess we will find out in due course. However in any case they are likely to be in somewhat limited quantities if they are imported from USA into EU as light trucks. This is because they will face a 25% import tariff. So great for being a public nuisance in Kensington and the Champs Elysee, not so relevant as a high volume trade product. I rather suspect it will become irrelevant once EU production of vans/etc commences by Tesla as that series of products will be designed to fit EU (UNECE) homologation rules in all respects.
(The reason this tariff is so high is because US put a high tariff on EU (France & Germany etc) light trucks during the "Chicken War" and it has remained in place ever since, and the EU responded. So 22% in one direction and 25% in the other)
p4 of
https://trade.ec.europa.eu/doclib/docs/2019/february/tradoc_157704.pdf :
" US exports of passenger cars to the EU face a tariff of 10% and EU exports to the US face tariffs of 2.5%. But exports of pick-ups and trucks popular in the US face a 25% import tariff. US producers face 10% to 22% in the other direction [i.e. from EU to USA], depending on engine size."
en.wikipedia.org