The issue will not be the polyurethane, as it will most definitely be cured. I can't imagine that the glue would be a problem either. The California warning stickers are on everything these days, and again do not give you anything to really be concerned about.
I seriously can't believe that there could be an odour from a guitar that would be that bad, bar one that's been in a heavy smokers house (had that issue, and was more the case than the guitar), or cat pee on the guitar/case or similar.
The only thing I could think of is something similar to the "new car smell". If you're finding yourself overwhelmed by such a smell, and it doesn't start to go away after leaving the guitar out for a good few weeks or so, then maybe you might need to clean the neck and body with an isopropyl alcohol based cleaner like Isocol. That'll clean up many things, and hopefully whatever is leaving the odour, if there is something that's leaving an odour on the guitar.
I have read that polyurethane can appear cured, but can take weeks to be actually cured. Just because the finish appears solid, doesn't mean is not off gassing
Make sense as when they finish the guitar, they automatically put it in a box, so is stuck in there not for long, not allowed to off gass, either way, I will probably return the new one and keep the used one, since both have the same smell. Ridiculous how bought the same guitar twice lol
I bought the new one cause I needed to know if the odor was from the used one or all of them are like that, well I got confirmation all of them
the used guitar doesn't smell as much anymore, very faintly, cause I had it out gassing longer I guess, maybe one or 2 months will do the trick for the used one, but I'm not putting in my room yet
not gonna keep the new one that i paid $1000 when it has the same strong smell as the used one had for $680
the used had a smell like the new one because the previous owner kept it in a case for one year, never allowed to off gas
I can't return the used one I bought from ebay, so if the odor doesn't completely go away after another month, I'll just sell it and count my losses
I paid $680, looks new and only has a small chip on the back of guitar, I figure I could probably sell it for $600-650 dont mind waiting, maybe during that waiting time the smell goes away or not