I’ve also been wondering about this. I got the gold card earlier this week, and my last 2 entries were on something like November 17 and February 18 with visa exemptions.
My understanding/interpretation was that I’d be able to apply for NHI 6 months after the November 17 entry (possibly excluding the several days I was outside Taiwan in February), meaning somewhere around late May.
Is that correct, or did the clock reset to zero when I entered in February (as seems to be implied by one of the posts above)?