I don't have a specific answer for your RFI question, but I can offer you more reading material.
The best explanation and most lengthy seems to be the first link below which was presented by Bruno Putzeys (founder of Hypex) at the 2007 AES meeting as a "Class D master class". It was a talk with a lot of slides. It explains class D principles in detail, and also the different basic topologies, the hysteresis modulator, and the phase shift controlled oscillator. It also presents the benefits and limitations of both approaches, and tells readers what to expect from both approaches. (Most of this was above my paygrade. I searched this for RFI but found nothing. A search for EMI found 27 mentions.)
https://www.hypex.nl/img/upload/doc/an_wp/WP_AES124BP_A_universal_grammar of class_D.pdf
The next three links are shorter papers, 5 to 8 pages long, that were mostly easier to understand:
UcD principle and comparison to hysteresis modulator is also explained in:
https://www.hypex.nl/img/upload/doc/an_wp/WP_AES118BP_Simple_self-oscillating_class D_amplifier.pdf
NCore improvement over UcD in:
https://www.hypex.nl/img/upload/doc/an_wp/WP_Globally_modulated_self-oscillating_amplifier.pdf
And also in:
https://www.hypex.nl/img/upload/doc/an_wp/WP_Ncore_Technology.pdf
You might find useful info in the Hypex web site:
From the start technological development has been the number one priority at Hypex culminating in our unrivaled Nilai® amplifier technology.
www.hypex.nl