Only very rarely, generally on charge storage circuits where voltage droop on capacitors can become a problem.

You need gmin to eliminate the floating-node problem, but once you have it, its value is of little consequence as long as it does not interfere with the circuit.  A lot of people change gmin for convergence reasons, but that is a bad practice.  You really do not want gmin interfering with the circuit, and it if affects convergence, it is interfering with the circuit.

Thus, you should set gmin to be small enough so that it does not affect the circuit through leakage currents, and address convergence issues in other ways.

-Ken

No. Rather the issue is with large value resistors and conductors. Meaning that if you are using Verilog-A, you should use the resistance form with small valued resistors and the conductance form with large valued resistors. If you use the built-in resistor, this issue it taken care of automatically. The combination of large and small valued resistors is of no consequence.

-Ken