A successful and mature project founder will definitely be hesitant when accepting investors' money.

This hesitation is a sign of respect for the investors' funds and trust.
Entrepreneurship and investment are more about trust—trust built over many years of reputation. This aspect is far more important than the amount of money invested, but many people only see the money and overlook the trust behind it, which narrows the path forward.
If you are an investor, when investing in someone, observe whether they are eager to take your money or if they respectfully explain the future of their project.
If the person accepting the investment shows enough respect for you, they will try to lower your expectations, helping you stay calm and rational in your investment decisions.
If you are the one accepting the investment and don’t want to carry too much responsibility or trust pressure, try to modestly lower the investor’s expectations. If they are still willing to invest after that, the subsequent responsibility and trust pressure you face will be much lighter.
This doesn’t mean that founders accepting investments shouldn’t bear responsibility and trust, but entrepreneurship is indeed tough and tests your mindset severely. If you can’t try to relieve your own pressure, you might collapse midway.
While entrepreneurship requires funding and actively seeking capital is a good thing, life is more like “value investing.” If you’re not cautious enough, repeated ventures can erode the trust built up over many years.
Respect every penny—that’s what I believe to be the fundamental principle!