No, but I think that you are missing the part that this is the baseline, otherwise, OEM's wouldn't find it necessary to have their own approvals on top of it. Mobil, for example, has been notorious for meeting the performance requirements of upcoming specs well in advance, sometimes several specs in advance. Cheap bulk oils produced at incredibly tight price points still meet CK-4, this is not some uber difficult bar to meet.
Take this bit:
CJ-4 limited KV40 via the choice of two different sequences:
IIIF at 275% across the board
or
IIIG at 150% across the board
Not overly stringent.
Let's then look at D8048 in CK-4 there, as it applies to oxidative thickening. KV40 viscosity increase limit (%):
Runs 1/2/3
75/80/90
So yes, that's more strict than CJ-4, but how likely do you think it is that a decent synthetic is going to increase in viscosity by 75%? let alone 90% or 150?
If we use the SK CI-4 oil the OP is looking at, which is 72.15cSt @ 40C, that's:
126.26/129.87/138.08 cSt at 40C.
Remember, you can blend a CK-4 10W-30 with 85% 5cSt Group II:
View attachment 244099
And that's likely the price point (or lower) that these limits are important improvements at.
But let's take a look at the products the OP is considering for context.
Here's the CK-4 product. Their website hasn't been updated since 2018:
View attachment 244100
View attachment 244101
Here's the CI-4 product. This is from SK, a brand which I assume everyone here is familiar with:
View attachment 244102
First thing that should stand out is that 228.51 caps phosphorous at 800ppm as does E6/E9. 228.3 does not cap phosphorous nor does E7, which may also explain why the CI-4 product is also SL and A3/B4.
These oils have markedly different recommended applications/specifications. The SK product seems like they've decided to combine a full-SAPS Euro oil with an HDEO

and gone with the full-SAPS style HDEO recommendations along with the Euro ones.
Now, given the OP said he doesn't have a DPF:
the lower SAPS of the oil recommended for 228.51 and E6/E9 aren't necessary in his application.
I'd be inclined to use the SK product here, given the choice between the two. It doesn't bother me that it's CI-4, it's from a company that's well known with a current website, and I assume it has higher levels of phosphorous, based on the approvals it carries.