rational, Reb Eliezer, and Always_Ask_Questions,
We are not talking here about adding extra kaddishes. We are talking about skipping kaddishes that are part of the set davening, e.g., after R’ Yishmael omer, after mizmor shir chanukas habayis, and after the shir shel yom (I’m assuming the one he does is the one after Aleinu). Those kaddishes certainly do not fall under the category of unnecessary or added, so I do not see how the halachos you are pasting are relevant to the shaila. This is not about being flippant with Hashem’s brachos or kaddishes. We are supposed to say those kaddishes and get great merit for doing so.
In fact, the rampant misapplication of halachos to this discussion only underscores the absolute necessity to ask a shaila of a knowledgeable rav.