I'm guessing the answer is yes but will it really be that noticeable? From what I've looked at, the closer you get to 4K, the less difference the CPU makes.
I bought the RTX 3070 (FE at RRP) due to getting caught in the hype but now I'm wondering whether I'll need to spend close to a grand to build a system to make full use of it.
My current PC is over eight years old but feels fast enough for most things; overclocked to 4.2GHz with an SSD and 16GB of RAM.