[tyfon]

I stand corrected, the current Planck analysis seems to take in account that we are moving through the CMB rest frame although I need to read a bit more. It's a long paper [1]

It was the earlier Planck measurements that did not account for this.

[1] https://arxiv.org/pdf/1907.12875.pdf

[mturmon]

This effect seems to be treated and dismissed as insignificant w/r/t the cosmological parameters, in section 3.11 (page 78) of the paper you reference.

There were a lot of new systematic effects in the Planck data, and a lot of the data analysis work amounted to identifying the most significant ones and modeling them out.