However, not all information is useful, and it can be useful to encourage a bias that cuts you off from information that is not particularly useful to you, so as to better allocate your time and energy

This is a general version of paulfchristiano's argument against pure mathematics. My response is the same: while it is theoretically possible to be too curious (or have too much of any "good" thing), in practice humans are far more likely to err on the side of not being curious enough.

There is a reason why people who make great contributions are often described as being atypically curious. Whereas I have a hard time thinking of any great figure whose principal virtue was anti-curiosity.

Procrastination is a problem, but cutting off curiosity is a bad strategy for dealing with it, like amputating an arm to cure carpal tunnel syndrome. Try instead to cultivate enthusiasm for working on your project, rather than an aversion to collecting information (apparently) not related to it.