It's up to the compiler to decide how many registers it needs to preserve at a call. It's also up to the compiler to decide which registers shall be the call-clobbered ones. "None" is a valid choice here, if you wish.
Any easy way to see that is that the system with more registers can always use the same register allocation as the one with fewer, ignoring the extra registers, if that's profitable (i.e. it's not forced into using extra caller-saved registers if it doesn't want to).
On a 16 register machine with 9 call-clobbered registers and 7 call-invariant ones (one of which is the stack pointer) we put 6 temporaries into call-invariant registers (so there are 6 spills in the prologue of this big function), another 9 into the call-clobbered registers; 2 of those 9 are the helper function's arguments, but 7 other temporaries have to be spilled to survive the call. And the rest 25 temporaries live on the stack in the first place.
If we instead take a machine with 31 registers, 19 being call-clobbered and 12 call-invariant ones (one of which is a stack pointer), we can put 11 temporaries into call-invariant registers (so there are 11 spills in the prologue of this big function), and another 19 into the call-clobbered registers; 2 of those 19 are the helper function's arguments, so 17 other temporaries have to be spilled to survive the call. And the rest of 10 temporaries live on the stack in the first place.
So, there seems to be more spilling/reloading whether you count pre-emptive spills or the on-demand-at-the-call-site spills, at least to me.
The actual counter proof here would be that in either case, the temporaries have to end up on the stack at some point anyways, so you’d need to look at the total number of loads/stores in the proximity of the call site in general.
- XSAVE / XRSTOR
- XSAVEOPT / XRSTOR
- XSAVEC / XRSTOR
- XSAVES / XRSTORS