Should MachineCSE honor TargetRegisterInfo::shouldCoalesce()?

Hello, I am a beginner to LLVM. I am trying to develop a new backend for our target. I run into an error about register allocation: there are not enough registers. Reading the debug output of llc, I noticed the following:

...
Coalescing: %4:gr32_acc = COPY %0:gr32_acc
***     to: %6:gr32_acc = ADDB %4:gr32_acc(tied-def 0), %5:gr32_acc
Coalescing: %10:gr32_acc = COPY %7:gr32_acc
***     to: CMPL %10:gr32_acc, %0:gr32_acc, implicit-def $sr0
...

which is generated by the MachineCSE pass.

Later in the debug output, there shows a Register Coalescer pass, which outputs lines like:

...
240B	%14:gr32 = COPY %9:gr32_acc
	Considering merging to GR32_ACC with %9 in %14
		RHS = %9 [192r,240r:0) 0@192r  weight:0.000000e+00
		LHS = %14 [240r,256B:1)[272r,288B:0)[288B,304r:2) 0@272r 1@240r 2@288B-phi  weight:0.000000e+00
		merge %14:1@240r into %9:0@192r --> @192r
		erased:	240r	%14:gr32 = COPY %9:gr32_acc
...

For the success of register allocation, I want to disable some register coalescing (about the GR32_ACC register class, which has but one ACC register in it). The Register Coalescer pass provides the TargetRegisterInfo a chance to do this:

bool RegisterCoalescer::joinCopy(MachineInstr *CopyMI, bool &Again) {
  Again = false;
  LLVM_DEBUG(dbgs() << LIS->getInstructionIndex(*CopyMI) << '\t' << *CopyMI);
...
    if (!TRI->shouldCoalesce(CopyMI, SrcRC, SrcIdx, DstRC, DstIdx,
                             CP.getNewRC(), *LIS)) {
      LLVM_DEBUG(dbgs() << "\tSubtarget bailed on coalescing.\n");
      return false;
    }
  }
...
}

But this hook is not called in MachineCSE:

bool MachineCSE::PerformTrivialCopyPropagation(MachineInstr *MI,
                                               MachineBasicBlock *MBB) {
  bool Changed = false;
  for (MachineOperand &MO : MI->all_uses()) {
    Register Reg = MO.getReg();
    if (!Reg.isVirtual())
      continue;
    bool OnlyOneUse = MRI->hasOneNonDBGUse(Reg);
    MachineInstr *DefMI = MRI->getVRegDef(Reg);
    if (!DefMI->isCopy())
      continue;
    Register SrcReg = DefMI->getOperand(1).getReg();
    if (!SrcReg.isVirtual())
      continue;
    if (DefMI->getOperand(0).getSubReg())
      continue;
    // FIXME: We should trivially coalesce subregister copies to expose CSE
    // opportunities on instructions with truncated operands (see
    // cse-add-with-overflow.ll). This can be done here as follows:
    // if (SrcSubReg)
    //  RC = TRI->getMatchingSuperRegClass(MRI->getRegClass(SrcReg), RC,
    //                                     SrcSubReg);
    // MO.substVirtReg(SrcReg, SrcSubReg, *TRI);
    //
    // The 2-addr pass has been updated to handle coalesced subregs. However,
    // some machine-specific code still can't handle it.
    // To handle it properly we also need a way find a constrained subregister
    // class given a super-reg class and subreg index.
    if (DefMI->getOperand(1).getSubReg())
      continue;
    if (!MRI->constrainRegAttrs(SrcReg, Reg))
      continue;
    LLVM_DEBUG(dbgs() << "Coalescing: " << *DefMI);
    LLVM_DEBUG(dbgs() << "***     to: " << *MI);

    // Propagate SrcReg of copies to MI.
    MO.setReg(SrcReg);
    MRI->clearKillFlags(SrcReg);
    // Coalesce single use copies.
    if (OnlyOneUse) {
      // If (and only if) we've eliminated all uses of the copy, also
      // copy-propagate to any debug-users of MI, or they'll be left using
      // an undefined value.
      DefMI->changeDebugValuesDefReg(SrcReg);

      DefMI->eraseFromParent();
      ++NumCoalesces;
    }
    Changed = true;
  }

  return Changed;
}

Could someone please tell me the reason why this hook is not called in MachineCSE? Could/Should it be added? Or, is there any other method to prevent MachineCSE from coalescing some registers?

Thank you.