Although this can be argued both ways, I would say that a strong organizational culture is important for the success of a business.
It is possible to say that a strong organizational culture will stifle the business. This is because it does not allow people the room to be themselves. In other words, those who would prosper under a different culture do not have the leeway to form a culture that would be best for them. If there were no strong organizational culture, there could be little subcultures that each did things in ways that were best for them.
Even so, I would argue that a strong organizational culture is the best thing for a business. The main reason for this is that it creates a company where everyone is much more likely to be on the same page and to like where they are. With a strong culture, everyone knows what that culture is and what their workplace is like. If they stay, it is probably because they like that culture. Therefore, those people that your firm does attract and retain are people who will be eager to work in that culture. The strong culture will also promote a sense of solidarity and identity in your firm. This will raise employee morale as well.
For these reasons, it is likely that having a strong organizational culture will, on the whole, be beneficial to a firm.