QSpice is adept at handling this case when calculating the operating point on the first simulation pass. From there, the nonlinear circuit is linearized, then the small-signal analysis is done. But I believe you so I checked; the simulation is identical with the caps deleted.
The current source load was used for the simulator to establish a known load current when calculating the transistors' dissipation. OP wanted to explore increasing the current capability, so I had to pick some load current. But since the circuit has really crummy load regulation, resistive loads would give different dissipation readings for the two transistor comparison cases because the output voltages would be different. But I checked that too and found the sim was identical with 6 ohm resistive loads.
As I think about it, many commonly encountered loads (opamp rails, etc.) behave like current sinks, not resistors. Most electronic loads support constant-current loading as well.