I am not the most experienced multiplex stainer. The little experimental background I have in multiplex stainings of human and mouse tissues, I summarized in this table attached, to compare the two approaches. Not sure everybody will agree, but this is more what came to my mind. Both approaches to multiplexing have their pros and cons. They both have their niche. If you want to do 20+ antigens, the tyramine system will probably not work for you. If you have just a handful of antigens on your mind, the iterative multiplex system using tyramides may be right for you.
My feeling is that the CycIF approaches is a little bit easier to do and implement in a lab...