What do they do then? Genuinely asking.
They do architecture!
It varies depending on where you are, but typically that would be high level stuff (we should have X cores, each core should have Y ALUs, the branch prediction algorithm should be this, there should be a core for machine learning, and it should perform these functions, etc.). Pretty typically they may also write a model (in C++, verilog, or some other language) that allows simulation of the functionality, and which can be used to verify correct operation after the designers are done.
The designers take the model, and do the design. So, for example, if I am the designer for the integer ALUs, I may be given code that shows what functions it should perform and what the results should be. So, for example:
if instruction == .add {
Answer = A + B
}
I need to convert that into a hardware design. So I figure out what the adder will look like, where the transistors will go, how the wires will be done, etc. I may do a carry-look ahead adder, a Ling adder, or some other design. I will keep iterating on it to make it run with the required power budget and meeting the required timing constraints. I may look at the big picture and realize that it would be more efficient if some things my block is supposed to do were instead done somewhere else (e.g. the register file), in which case I go back to the architect and work with her to repartition the logic. I figure out where the pins on the edge of my block go, so they can tile to neighboring blocks. I figure out where the clock wires go, signal repeaters go, power and ground rails go, etc. Then I produce my own verilog (or whatever), that can be simulated, but it is written at the gate level and explicitly lists all the connections between gates. If run as a simulation, it operates a thousand times slower than the architectural model, because of all the details. So I run formal verification, which mathematically compares my design to the original model. Etc. etc.
Most of my career I was a designer. I worked on chip floor plans, circuit designs, logic designs, physical designs (where do the transistors and wires go), etc. Sometimes I did some instruction set architecture work (the original design of the x86-64 integer 64 bit instructions, for example). I rarely did architecture, other than at the beginning of opteron/athlon 64, where we all had to pitch in because we didn’t really have an architect.