For what it's worth, the process has improved. The immigration information page has been removed along with the customs information.

I filled out the BVI portal yesterday for 2 vaccinated residents. It required 4 uploads (passport, vaccination card front, vaccination card back, and test results) and 10 minutes/person. I think it was a total of 4 pages of information. For visitors, I think there are 2 additional uploads (insurance and accommodation info). For vaccinated travelers, the approval is going to become automated to eliminate the back and forth; I'm not sure if this has happened yet.

Will update with timing once I see the approval.