If I understand correctly, what is being stated is that regardless of the higher anonymity score the fact that a non-private coinjoin is taking place with a time correlation
could be detrimental to privacy. If there is a pattern then it might be considered linked or related. In that scenario, the time correlation completely negates the higher anonymity.
In that case, if a scheduled coinjoin for non-private inputs is the solution, it should be considered for implementation for a future release.
Unless I am missing something, it is not. The main point is probably that even if the inputs are initially correlated, they will end up impossible to correlate again.
The idea proposed by BlackHatCoiner is great. I heavily support it. I thought about inputs possibly being time correlated before only about once, but I did not feed the idea too much as I typically make sure not to put so many inputs at once that it becomes obvious they are related. It is very difficult to not time correlate things when using the Internet but the more difficult it becomes and particularly when random scheduling is enabled by default, the better for everyone.