The Monk Temple

[Kadas]

Claws offer 7 less acc, 23 less skill speed, for a +26 determination. You can easily make up for the lost acc elsewhere, so you're left with -23 skill speed, +26 determination. There is a very clear winner here, and skill speed is not it.

[Traison]

Claws offer 7 less acc, 23 less skill speed, for a +26 determination. You can easily make up for the lost acc elsewhere, so you're left with -23 skill speed, +26 determination. There is a very clear winner here, and skill speed is not it.

First I gotta say, assuming from your use of "7 less Acc," might you be talking about regular Sphairai and not the Zenith? Cause if so then yes the Hellish Claws beat them every single time no contest, even under Acc cap. If not, it is a 11 Acc difference.
I'm using these stat weights. I don't have a number for accuracy so I am going to plug a random number in at 0.8 since it sounds like a reasonable weight before cap (Even though it is probably much higher.)

WD 7.841
STR 1
ACC 0.8
DTR 0.224
CRT 0.172
SS 0.154

Sphairai Zenith:
WD = 46*7.841 = 360.686
STR = 31*1 = 31
ACC = 37*0.8 = 29.6
SS = 26*0.154 = 4.004
Total: 424.982

Hellish Claws:
WD = 46*7.841 = 360.686
STR = 31*1 = 31
ACC = 26*.8 = 20.8
DTR = 26*0.224 = 5.824
Total: 418.31

So under Acc cap, point per point, Sphairai is better weighted. When you start considering other factors such as gear and food, then it might not be better, however compared to the Claws, it is better.

[Kadas]

I'm using these stat weights. I don't have a number for accuracy so I am going to plug a random number in at 0.8 since it sounds like a reasonable weight before cap (Even though it is probably much higher.)

uh my bad, I used the wrong stats to compare it.

Still, why are you giving a weight to accuracy anyway? It does not interact with damage, as it's a given it is going to be capped for the content you're going to do.
You can compare best in slots that get you to the accuracy cap and work out other stat differences, if you want to do a neat job, or you can just disregard it and assume you will have capped acc through the rest of your gear.
But giving it a random value just doesn't seem to make sense to me, there's a reason there is no weight for accuracy.

[Traison]

The reason it has no weight is because it hasn't been found yet, its a hard stat to calculate. You have to factor it in though because its part of the itemization of the weapon and has given up other stats in place of it, also it's a stat that can make you lose tons of dps, its not something that is just for extra dps or quality of life, it is necessary.
The only reason I give it a random value is just to prove my point. It can be pretty much any value and will prove that the Sphairai is better than the Claws.
As for assuming you will just reach the cap naturally, yes you can do this, however it is largely inefficient and will more often than not waste a lot of stat points on Accuracy when its not needed and can be spent on better stats.