Your method for calculating auto-attack healing contribution is wrong, as you're failing to factor in both the serpent stance multiplier (though when comparing it solely to CJL that's a wash as long as you're not doing it on either) and the contribution of Tiger Strikes (which is effectively a 30% increase to auto-attack DPS.)
I did not, I just didn't explicitly note the Serpent Stance multiplier. I did
neglect Tiger Strikes. Including it raises the BoK style to 42k HPS and 5.84 HPM, and the Jab/Enveloping to 42k HP and 7.69 HPM. CJL is still superior.
And yes, Serpent Zeal on its own
powerful. Unfortunately, Serpent Zeal requires you to cast nothing
but instants (and Chi Burst) while active in order to get full benefit. Casting anything
but instants negates portions of its benefits., as does being out of melee range for any reason. On larger bosses, SZ isn't even that potent, as it's quite possible to be meleeing a boss and still be farther than 20 yards from the tank that needs healing (remember, Eminence centers on you
, not your target).
And your characterization of spells able to cast is rather biased. Interrupting Soothing and CJL is not harmful. You can cast any spell in your arsenal without adversely affecting them (though Soothing admittedly takes a loss if you cast anything but Surging or Enveloping. CJL is designed around being interrupted, though). For Jab, the only things you can cast without harming SZ are BoK, Tiger Palm, Uplift, Chi Burst/Chi Wave/Zen Sphere, Renewing Mist, and Healing Sphere (ignoring our utility abilities and cooldowns). Enveloping and Surging, our most potent single-target heals by far, and SCK, one of our staple AoE heals, all lock out auto-attacks, and thus are harmful to SZ's benefit. This is not the case with CJL (with already takes such interruptions into account) and Soothing (which is not so interrupted).
Incidentally, I also just realized I neglected to include the statue's duplication of Soothing, which would raise that healing portion by 50%, boosting Soothing's to 36k HPS and 10.82 HPM.
So yes, comparing SZ alone to Soothing alone or CJL alone will generally favor SZ. However, that's not the whole picture. That's why I did complete work-ups as above. You have to factor in relative chi building and what you can spend that chi on. SZ limits your chi spending options too much for single-target healing to be useful. Even in AoE, CJL's Eminence healing is going to make up a LARGE portion of the difference in chi generation, assuming people can actually be in range of the Eminence (and I only know of one fight where that isn't regularly the case, Garalon).
If your healing is mostly instant-based, meleeing while keeping SZ up is always going to be the right answer.
Even with mostly instant-based healing, Jab is only superior to CJL if:
1) You need to generate as much chi as possible per second (generally only necessary for Uplift spam if the group is spread all over the place).
2) You have to keep mobile (very few fights require this).
3) The healing is light enough that SZ alone is doing a fair portion of your necessary healing output (never the case outside of 5-man, if even there).
Jab has situational use, but most
of the situations that it's used today are inferior. I suspect this is because people view SZ's healing as "free". It's not free. It costs 2 chi, 23400 mana, and 30 seconds of not using any non-instant abilities or leaving melee range. Those are all direct opportunity costs that do
penalize healing otherwise. Don't get trapped by the obfuscated opportunity costs into thinking SZ "free". It's not.