I don't understand why you are harping on "first time."
E-visa is e-visa, it will be the exact same EVERY time. There is absolutely nothing special about the first time. You will receive an entry stamp until your eligible stay date. It will either be 5 years from the date the visa is issued, or it will be until the expiration date of your passport, whichever is earlier. It's your responsibility to check your passport immediately after stepping away from the counter EVERY TIME, regardless of what visa you are entering on. Immigration officers are humans, and they make mistakes just like everyone. Catch it immediately at the airport and it's not a problem for them to fix it. Make sure you hand them both your passport and your printed out e-visa to help avoid mistakes, and also use the fast track line where available, as those officers are experienced with the LTR visa.