9 of 10 recruiter emails I get have 3 or 4 paragraphs leaving me none the wiser about the company, the product, the role, or why they thought I'd be interested. At most I get a vague idea of the sector. I hate to say it, but the only ones that aren't always rancid corpspeak are the ones I get from big tech. I expect GPT-3 to set a slightly higher bar. At least GPT-3 fools me once in a while. Recruiters never fool me into thinking they contact people with care.
I would expect GPT-3 to do a much better job of making me think they've actually looked at my profile. Most recruiter emails are very clearly the result of a keyword search plus mail merge to insert my name (and sometimes my current employer's name), while GPT-3 would presumably be used to write something more personalized.