Many of the East German K98k refurbs are rebarelled it seems. I have one in a byf44 that is virtually identical to your rifle, new 8mm barrel and all. Same MK-Z stamp as well.
From what I can tell, there are two EG refurb variations. One type is marked with the VoPo sunburst cartouche, will invariably have a replacement beech handguard, total reblue, original Nazi barrel and be renumbered matching, restamped on most parts and electropencilled on the flag safety. The other type will nto be VoPo marked, will generally have mis-matched parts, usually rebarelled, and have the MK-Z stamp. I suspect the second type were done much later than the first type from rifles with poor barrels that werent; good enough to go through the first round of refurbishing for he post-war Volkspolitzei.
You won't find that in any refernce books though, it's just a well grounded theory I've pieced together over the years from waching the imports come and go, along with their reported sources.
You're right though, I'd rather have ANY East German refurb than a Yugo or RC refurb. They are much better done/fit/finished and aren't scrubbed and renumbered on the wrong side of the receiver.