+++ If the maximum draw of the amplifier is 195 watts, how will providing 1000 watts be more beneficial than providing 500 watts (or more than double the maximum draw of the appliance)? +++
Easy, transformers are reactive by nature and distortion/reactance goes up the closer a trans get to its rated output. The bigger the trans the better. A 1 to 5 ratio will yield about the best performance per buck.
If you were running a 200watt heater or refrigerator I'd say use a 300watt trans. A 300watt (or 500watt) trans will not let your amp do its best. .
Regards
Paul