I am sent a lot of papers to review, from an expanding set of journals. Currently I am a postdoc on the job market, with little time. Even though recently I only agree to review for better journals, or for journals that haven't asked me before, reviewing still takes too much of my time. Is it worth doing it at all at this point? Do hiring committees care about my reviewing record? If they do, do they ever look at sites like Publons, or is it sufficient to list the name of some journals I reviewed for in my CV? Publons being a commercial company, I never agreed to "get recognition for my review" there, even though most publishers offered it.
One of my concerns is that some of the journal editors are likely to be on hiring committees, and it would be viewed badly if I refuse too many review requests. On the other hand, the editors might judge me by reading my reviews, so I feel pressure to spend more time on writing a good review than what I am able to afford ...