Why would you make a t-shirt without the company name fairly large on it? Especially when you have aren't a household name yet. It's weak advertising...
For me, I’m much more likely to actually wear a shirt if it doesn’t have the brand plastered on it as a blatant marketing tool. And if people have to ask about the shirt, that opens up the conversation to talk about Kagi. If the name is just on there, I think fewer people would say anything, and I feel like it really needs an explanation from a user. Paying for a search engine isn’t something most people will do without someone giving them a reason why they should care.
I almost never wear graphic tees. But to me it seems like there are people too shy or uninterested to ask about a generic cartoon character on a shirt. The name doesn't have to be so bold, but it shouldn't be in fine print either. I think the logo is not cute enough either. The grungy sketch style is not as appealing as normal clean logos. I think they need to seek help in designing an appropriate logo. At least the name Kagi is catchy.