Nope!
I would still say they should be separate!
Take this scenario; I get supplied by a number of different sites from one of my suppliers; they have a common product recall strategy, with input from their group technical. I have conducted traceability exercise (not quite the same, but as close as dammit) with all of the sites involved, with different results. Some could not complete with the pertinent information in the 4 hour time scale allocated (not always the most generous time scale admittedly) but to have one of their TM's ask me what information I needed sounds alarm bells, especially when 2/3's of the way through the exercise. I insist that we do a traceability with all sites, even when the group TM is off, because not all recalls happen when the group TM is on site!
I get the same product from all of these sites.
Caz x