My quibble here is with the house style "Iran-backed" that they attach to every mention of the Houthi's. While it's fine for governments to use that language, I don't think journalists should use it without being very specific to its relevance to the particular subject under discussion. The "Houthis claim major advance in Yemen - what you need to know" article could omit "Iran-backed" in its entirety and lose no information of substance, and amend the last bullet point to say that this is especially relevant given the current US-Iran conflict.
As I type this I feel somewhat vindicated by the update to the page, "Iran does not dictate every Houthi decision - but they appear increasingly aligned", which I think does a good job of clarifying the relationship. It does, however, say "Iran has publicly backed the Houthis during the latest fighting. The geography helps explain why", which is useful factual evidence (since Iranian officials have indeed made public statements in support of the Houthis) but the use of "backed" in this sentence is bad style since that word has been used in exactly this context to have a much deeper meaning than Iran saying "we've got your back bro"