But I can also supply a counterargument. *vaj malopmeH tlhIHvaD nob SaSuqpu'* /So to celebrate, I've gotten you all a gift./ (Hallmark commercial) Here, the adverbial *vaj* is placed before the purpose clause.

Here, the vaj works more like a conjunction. Using it after the -meH part makes less sense.

Not at all. It's an adverbial, meaning that this sentence is a logical continuation of whatever came before.

I think Okrand wasn't really thinking carefully about this issue, and just closely translated the English.

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SuStel
http://trimboli.name