That makes no different, The Amiga chipset is always working at "full speed", only some big blitter action could cause more heat in real (Fat)Agnus. In FPGA there is no more or less power consume if the Amiga is running a complex demo/game or just showing the kickstart hand.
The real 68000 cpu is also all time working, no halt-instruction will block it. This is doe to the minimig internal hardware design (Verilog).
Only when the PIC is operating (floppy drive simulation) the power consume could slightly rise about 45-50mA.