Well yes, there are big differences on how each rig performs, depending on your set structure and the tools used. Some plugins offer multicore support internally to help with spreading the load evenly, but most of them don't.
Some time ago, I had two desktop machines side by side, doing comparison in order to decide which one to sell. A Ryzen 9 5950X (16 core/32 thread) and Intel I9 13900K (24 core/32 thread). And one would think, that since the Ryzen comes with 16 "full speed" cores while I9 has only 8 performance cores and 16 slower efficiency cores.. you'd think it'd be clear who wins?

No, I ended up choosing the I9 at the time, with the set of plugins I'm using, it gave me the best performance. Yet, still huge amount of processing power is left unused due to Live running into 100% CPU load and starts breaking up the audio.
As now two CPU generations has passed since those tests, it'd be fun to see how is it with today's top performers.