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Not quite.
You're thinking in terms of signal strength. A 3 db boost of signal strength from, say, a radio station broadcasting will double its power.
In terms of audible levels, 3 db isn't much, at all really.
Consider this: -60 db in audio is typically considered silence. -57 db is not even close to half way to silence (meaning, it's practically silence too.)
In terms of Stereo signals, you need about 10 db of separation to be able to really tell there is a difference between the left and right. 6 is enough to tell there is some there, but not much.
(Not to go too far off on a tangent, but it sorta puts it in perspective.) One of the reasons that Quadraphonic records didn't take off was because of the poor quality of the early Quad decoders. The SQ system particularly is what I'm thinking of. The early SQ decoders only offered about 3 db of channel separation in the rear, which was hardly noticeable, and left people very unimpressed. (They did eventually come up with logic circuits to help decode, and they got it up to about 20 db of separation, but by then it was too late.)
Purpose of the above paragraph? To demonstrate what "impact" 3 db does (or rather, does not) have.
I don't know what kind of sense this post makes at all, but it may provide some sort of reference.
In the big picture though, as long as you are happy with the hood quiet kit, that's all that matters!
--
If you listen to the radio in Portland, OR, you may know me as 'Portland's Favorite Soul Brother!'
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