[falsedan]

E-3 to green card is OK if you put in your application from outside the US.

H-1B is dual-intent (i.e. not non-permanent) & better known to banks (3k vs. 120k granted per year).

[axk]

Not true. I got a GC while being on an E-3 in the US.

[falsedan]

Better hope DHS doesn't find out

[klipt]

I really doubt it matters. F1 student visa isn't dual intent either, but a lot of foreign students end up marrying US citizens and adjusting to green cards in the US.