Yes, but it depends on how well marketing works. If no one knows about the token, it is unlikely that you can expect a sharp price jump up. And to know about the project you need a lot of money.
Advertising has always been and will be expensive, the future of the project depends on it, its not worth sparing such money
This would not be a problem if the projects could raise the necessary money. Today there is a big problem with this. Therefore, the bounty almost does not bring money.