It depends who you speak to on the newspaper/publication. If you speak to editorial, marketing or advertising sales peeps, their knowledge of the printing process is often a bit short. I have been working with them for over 30 years. Speak to the production department, or the actual page designer.
If you supply a pre-screened image at 300dpi (or maybe 150dpi for newspapers) then you need to know the exact output dimensions. If it then turns out that the image is used at a different size, which is almost certainly the case, then it will have to be re-screened.
If you take an A4 image at 300dpi, you can probably get away with that if the final output size is very much smaller than that, like a couple of inches wide, but you run the risk of moire patterns when the new screen is applied over the old, which it must be.
If the image is to be used bigger, then at A3 across a spread that 300dpi is cut in half and you're throwing away output quality. You would only ever do that if the original image file was not available. It wouldn't look good and you'd probably look for a different image.
That's a bit of an explanation but it's all kind of irrelevant. The publisher does not want a screened image image in the first place, not to any resolution. They will apply the print screen, along with various other adjustments approrpiate to the press and paper such as dot-gain and contrast etc when the image is optimised for final output.