Yes, generally a US trem will drop right in with no problems but some japanese fenders have a smaller trem route and some minor routing needs to be done, I have only ever heard of this happening twice. On my CIJ it was a perfect fit. The odds that you will need to make some minor modifications the the front of the trem cavity where the trem lock button goes are very very slim!!!
I actually think the problemtic fenders are MIJ jazzmasters and jaguars not CIJ anyways. Its not like they are gonna have multitudes of CNC routers set up for japanses fenders and they are all different. If it fits on my CIj I would say 100% it will fit on yours.
Routing templates and production techniques change over the years and this is possibly where the problem JM/jags arose.
Just buy one and install it, if you have problems come back here and I'll help you with getting it on.
Remember to buy the trem arm for it too!
Angela has increased its prices since I bought my US trem as I got mine complete with arm for about 70 bucks.