Remote starters should NOT be any strain on the starter motor or the car, UNLESS you have a problem anyway. For example, if your engine is hard to start, or the battery is weak, you might take it easy when you start it yourself and quit trying after a few shots just to preserve the battery, or to fix something else before continuing. A remote starter has NO smarts at all - it will just keep trying until the battery is dead!
As far a giving the gas pedal a light tap to help, that is NOT necessary with today's cars. The combination of fuel injection and microprocessor engine controls is so different from the old carbeurator systems and automatic chokes that you are much better advised to KEEP YOUR FOOT OFF THE GAS PEDAL when starting. With a remote starter, that ALWAYS is the what happens!
NOTE: Some people with manual transmissions leave the tranny in neutral and set the parking brake. Some leave the tranny in first gear and either do or don't set the parking brake. With a remote starter you MUST NOT leave it in gear, EVER!!!