No, it's only your business if you actually GIVE them money. Them giving these details might sway you to help them with their business, but they don't OWE it to you until you've actually given them something to help with their business. Which you don't have to do. Maybe if these people were reaching into your pockets and taking money from you without your permission, you'd have a point. But they're not, they're asking for something, and you have the choice to give to them or not give to them.
Would it be better, and possibly more beneficial for them if they detailed their plans? Probably. Could it get more people interested and help them get more money for the project? Possibly. But that doesn't mean it's your business to know what they're doing with their business. And considering they didn't even need to give these details to meet their goal, I'd say them running their business the way they see fit, even if it's at the expense of not getting your support isn't exactly a back breaker. Because it just broke a world record for fastest video game crowdfunding.
Like I said, them not providing details is a perfectly reasonable reason for you to not want to give your money to them. It's why I personally don't give my money to a lot of Kickstarters. But at the same time, if these companies don't want to give out this information, it's not their obligation to. If they think they can meet their goal without giving this information (Which Suzuki and his company obviously thought they could, and eventually DID) then it's their choice to do it this way. It is no way "A problem" as this article claims it to be. It may be a personal problem for YOU, but that doesn't mean it has to be for the 40,000 people who funded it, and it doesn't mean that the whole situation is some kind of sketchy mess. It's up to the individuals who helped fund Shenmue III to dictate what is, and isn't a problem in relation to what is being done with their money. Not some jackass Polygon writer.