Yes, it looks to me like the plants lacked light for a period in there growth. I've seen this happen many times when repotting Drosera that has think roots and tends to sprout off shoots. What happens is the offshoot may start inches below the surface and has to grow a long stem to reach the surface.
This can happen during regular growth or with root cuttings.
You can do one of two things:
1. Cover the bare stem portion up to near the growth point with media i.e. raise the level of the media. If one or two of the growth points get covered that's okay as the points will eventually grow up to the surface.
2. "Decapitate" the plant - just where the black root starts turning brown and tapers off at the top. Just cover the now "headless" root with media. Pot the head covering the bare stem. The headless root will start new growth points and/or offshoots. The "head" (with leaves) will grow a new root. If you're not confident enough to do this just do (1).
Drosera regia is a lot tougher and resilient than the get credit for. I couldn't tell you how many times I thought I killed them and they bounced back.
Here are mine. They're in 1 gallon stock nursery pots, 60-40 perlite-peat mix. The block pots are clone R1 and the brown is clone C. I repotted clone C last quarter last year and clone R1 either in Dec or January. The bale of peat moss I bought earlier is bad for much of my Drosera and a different brand (which is the one I usually buy) seems okay. The leaves were growing distorted and the R1 was down to the growth points which were turning black and only three left. The R1 is actually putting up a flower - first time in 10-12 years. Probably due to the prolonged and somewhat colder (for Los Angeles) winter. The R1 in the foreground was just repotted yesterday. I had put it in LFS to recover rather than the peat mix. LFS is not the ideal media, at least for me. Root is at least 1/4" and 12" long.