I respectfully disagree.
The relative pitch intervals between D-G-B-E and G-C-E-A are the same (ie: 4ths).
Hence, logic dictates that you will achieve an adequate overall tension if you tune up classical guitar DGBE strings up to GCEA on a shorter scale "guitar" (which is "ukulele").
Sure, there are "recommended" gauges, as you show on your chart.
However, we are talking about stringed instruments! There is a lot of variety in preference on how you want the tension on your strings.
Look at the world of guitars. There is a very wide spectrum of tensions - super duper light all the way to heavy. Heavy bottoms/Light tops.... Medium-Light, etc etc etc.
The ukulele also has just as wide a spectrum of tension preferences. In fact, I think it is wrong to name ukulele strings as "Soprano, Concert, Tenor".
They should be called Light, Medium, Heavy gauge and the different sized ukuleles should be treated as the same instrument at different scale lengths.
For example, you have short-scaled travel guitars, parlor guitars all the way up to full sized dreadnoughts. All the sizes are considered "guitars" of variable scale length, and you don't have guitar strings named "Travel guitar strings" or "Parlor guitar strings". You simply choose from the pool of different gauge "GUITAR STRINGS" that is appropriate for your needs.
The point I would like to drive home is, numbers and figures are merely recommendations. An average. A benchmark.
There's no need to treat it like some kind of restriction - it is merely a middle-ground from which to begin.
If you prefer your strings a bit lighter or heavier than the recommended figures, that is totally your call.
From personal experience, I have found DGBE strings work perfectly as GCEA strings on Soprano, Concert and Tenor ukuleles.
In fact, in my opinion, I think they result in a much more playable and practical tension than most strings that are actually sold as "Ukulele strings".
I find most "Tenor ukulele" strings to be too heavy on tenors for practical finger-picking, and most "Soprano ukulele" strings to be impractically floppy.
The DGBE of normal tension Pro-Arte Classical guitar strings corresponds identically to the "Concert Ukulele D'addario Pro-Arte" strings.
I find this to be the happy string for all seasons.
The overall tension on the strings also depends a lot on how your ukulele is setup.
If your ukulele has a particularly low setup, then all strings will feel a bit looser in comparison to an ukulele with a higher action setup.
Currently I have my Clearwater Soprano uke and Pono tenor both using the same DGBE Pro-Artes tuned to GCEA (low-G).
I have adjusted the action so that the tension feels perfect to play.
Hence my experience greatly differs from your's.
The easiest, simplest and arguable most economic way to use guitar strings on ukulele is tune the DGBE straight up to GCEA.
K-I-S-S
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