RSI tested more strings than TW, but their data isn't as broad. They only tested at 62 lbs with a fast swing, while the data in the opening post is from TW's testing at 40 lbs reference tension with a fast swing.
TW's testing is missing a good number of strings, including some it sells, like Dynamite 17, Dynamite Soft 17, Dynamite Soft 18, Gamma Professional 18, Liberty 15L, all aramids, and more. Hopefully more strings will be added soon.
TW also only did pre-stretch tests at high tension. I would like to see pre-stretch tests at low and medium tensions, since pre-stretching dramatically improved tension retention with most strings.
They (and RSI for some of the data) did the testing. I compiled it from
this tool.
Natural gut is definitely the softest string and tends to remain soft even at high tensions, although some natural guts are significantly softer than others. It also holds its tension better than other string materials. Some find it more durable than multi-filament strings, especially those with fairly dense string patterns, high quality gut, and flat strokes.
Gut is not without flaws, though. It's difficult to string. If a stringer notches the string (it will look like a white spot in the string), the gut will break quickly there. It unravels quickly if it gets wet and sometimes even in high humidity. Lower-quality gut may snap quickly, even on the stringing machine. Beginners may break it quickly because it is vulnerable to off-center mishits (shear stress). It is also expensive to produce.
Synthetic materials increase in stiffness as tension is increased, although how dramatic the increase is varies with material. Some polyester, for instance, may be soft in a very thin gauge at very low tension and becomes quite stiff at high tension. Zyex seems to be the best synthetic material in terms of comfort, especially at moderately low tensions and even more so with a thinner gauge string (Dynamite 17 is even softer than WB 16).
If you look at the data you quoted, you'll see that two natural gut strings are very close to Dynamite WB 16, a thick 1.41mm Zyex string, which means the Dynamite was practically as soft as those two strings at that reference tension after the TW impact tests were conducted. Part of this is because the Dynamite, being a synthetic, loses much more tension than natural gut, so its actual tension is significantly lower. With synthetic strings, as tension drops, so does stiffness. However, there is a range of stiffness depending upon the material and construction (gauge, filament thickness/shape). Aramids like Kevlar, for instance, are much stiffer than other strings even at the lowest tension, with many filaments, and with the thinnest possible gauge.
Zyex is rivaled by polyolefin, although it seems to have the edge. Although the data isn't yet available, I expect Dynamite Soft 18 (1.15mm) to be the softest synthetic string currently on the market. The 17 gauge should also be quite soft. I look forward to TW updating the database with the data for these new strings.
Regular Dynamite 17 remains a good buy at $7 a pack for 5+ packs, too. It will not likely be as soft as Dynamite Soft, but may be a bit more durable due to the thicker Zyex inner filaments. However, those recovering from tennis elbow should stick with the Dynamite Soft 18 or natural gut.