The constant gm bias won't supply constant gm, but constant gm*R and since R is very process variant, you won't get a constant gm across process corners. You would want to use this kind of bias at applications where constant gain is required where gain=gm*R.
If you're in real need of constant gm indep on R, you may need to trim the resistors used at constant-gm circuit, but this is very expensive.
The constant gm bias won't supply constant gm, but constant gm*R and since R is very process variant, you won't get a constant gm across process corners. You would want to use this kind of bias at applications where constant gain is required where gain=gm*R.
If you're in real need of constant gm indep on R, you may need to trim the resistors used at constant-gm circuit, but this is very expensive.