You're right it's two different problems.
Green_Hilltop: Well in one thread it is stated that heroes don't carry over in RoE as they should because SoD broke them.
No. It's a case of
artifacts not carrying over in one campaign. Or rather, the carry over happens correctly, but the quest guard asks you for the wrong artifact. I investigated this and here is what I found:
Basically, in Liberation campaign, you can play levels in any of the two orders:
1,2,3,4
OR
1,3,2,4
If you get the quest artifacts, they carry over, and depending which of the above orders you choose, you should get a different artifact in level 4, which can be exchanged for a fairly powerful one.
Unfortunately, one of those paths is broken. The quest guard asks you for the incorrect one. Which means if you choose one of those paths, you will end up with no artifact in level 4. I have explained it in more detail in the thread.
I can confirm that this problem was introduced with Complete Edition (both DVD and GOG). I installed my old CD edition of HoMM 3 and both paths worked properly. However, if this is what Tarnum meant by "RoE being broken" then I have to disagree with him. This is hardly a game breaking bug. You can still get the artifacts if you play the levels in the correct order (granted you have no way of knowing it, and if you choose the wrong order it would be annoying having to replay the levels in the correct order), and even if you don't, the only thing that will happen is that you won't have a powerful artifact in level 4. While an inconvenience, the level is perfectly finishable without it; those quest guards were optional in the first place). Finally, as someone noted, you can keep reloading till you get the artifacts you want from an Artifact Merchant.
Green_Hilltop: In another thread (or two of them it's stated) that in SoD some things don't carry over as they should.
"It affects the Shadow of Death campaigns. The heroes stats\skills don't transfer from the 4 starter campaigns (featuring Gem, Yog, Gelu, Crag Hack) to the next one in the sequence (Unholy Alliance, iirc)."
Just a little clarification on this.
Campaign 1 features Gem. She does carry over between levels of this campaign.
Campaign 2 features Crag Hack. He does carry over between levels of this campaign.
... same thig for Yog and Gelu in campaigns 3 and 4.
Now campiagn 6 has all four heroes combined. Only instead of having them carried over from each previous campaign, they are not. Note that they are still high level and about as powerful as they'd have been had they carried over, only their secondary skill are probably different from what you want them to be.
I wouldn't say it's a bug per se. Heroes of Might and Magic 3 did not have a mechanic of carrying heroes over between campaigns, so it was impossible to do this. What they could have done is have all those levels in one single campaign, in which case carryover would work (though having it crammed in one campaign would look ugly).
Either way, this is Shadow of Death Campaign, so can't be "RoE being broken" that Tarnum wrote about.