I think it's a bit harder to tell people you're working on your own company full-time if you aren't funded and you aren't in an incubator program. The incubator program lets other people know that investors believe in your idea, so you'll be more confident in telling people about it.
But really, if you want to start a company, you shouldn't need the investor to have your back. You should be able to believe in yourself and your idea no matter what people think otherwise you'll never succeed.