It really depends on the investors and your relationship with them. In my experience, you limit your ability to attract VC firms if you show up with an offshore company, compared to Delaware C-corp or EU or Singapore company. If you're speaking with a VC firm and you get to the nitty-gritty, they are very likely to insist on a non-offshore company.
Angel and seed investors might have a higher risk appetite, especially if you come to them highly recommended from someone they trust.
But yes, BVI and Cayman Islands are less likely to be problematic than something dodgier like
Seychelles. However, I mostly see Cayman and BVI companies set up as investment vehicles by investors, but rarely do investors put money directly into an offshore company provided by the entrepreneur.