When we redid our site, we expanded the line of Cuatro strings. In the past, we only offered the traditional set-up: all plain strings that would give a - d' - f# - b on a 20" scale. When we added more, the 1st set was the simplest - one to give g - c' - e' - a on the same scale. Even with the low 1st, this is not too low for a Baritone.
The Cuatro players just like the slightly higher, brighter sound. That's the great thing about Cuatro set-ups - with "low 4th" & "low 1st" strings, they give great depth to tunings that some might find weak on bigger instruments. On the Cuatro site page, there are sound samples comparing this "low reentrant" set-up (yes, it is another form of reentrant tuning) in traditional D tuning on a Baritone to the "high reentrant" or "Ukulele reentrant" D tuning on a Soprano. The fact that one sounds great on the smallest Ukulele, and the other sounds just as great on the biggest, illustrates the effect of dropping the 1st & 4th strings an octave.
As I said above, it was easy to do this for C tuning, since we already had 3/4 of the set in our Linear offerings anyway. Patrick, you have likely tried it. Our LL-NW (Light Linear - no wound) set gives C tuning @ 20", and is one of our most popular sets. All we had to do was change the 1st string, and voila!, the LMC-NW (Light Medium Cuatro - no wound). The LC-NW (Light Cuatro - no wound) gives the traditional D tuning @ 20".
If you're already using LL-NWs (as a lot of you are) and want some extra depth, we've made it very easy to give it a trial run. On the Linear page, after the listing for that set, you have the option to add an extra 1st string - one that converts it to Cuatro tuning. That way you can try both set-ups.
We also make this Cuatro set-up with a pair of wound strings (on the outsides): the LMC-WBs (wond basses). This set gives a touch more tension, and as you might imagine, a bit more power and more sustain.