Well, if you look at what your snippet of code might produce:
CultureInfo c1 = CultureInfo.InvariantCulture;
CultureInfo c2 = new CultureInfo("en-US");
Console.WriteLine( c1.DateTimeFormat.ShortDatePattern.ToString());
Console.WriteLine( c2.DateTimeFormat.ShortDatePattern.ToString());
Console.WriteLine( c1.DateTimeFormat.LongDatePattern.ToString());
Console.WriteLine( c2.DateTimeFormat.LongDatePattern.ToString());
Console.WriteLine( c1.NumberFormat.CurrencyDecimalDigits.ToString());
Console.WriteLine( c2.NumberFormat.CurrencyDecimalDigits.ToString());
Console.WriteLine( c1.TextInfo.IsRightToLeft.ToString());
Console.WriteLine( c2.TextInfo.IsRightToLeft.ToString());
You'll see some differences:
MM/dd/yyyy
M/d/yyyy
dddd, dd MMMM yyyy
dddd, MMMM dd, yyyy
2
2
False
False
And just think, when the US loses it's backbone and decides to start using European style dates or moves to the metric system (the metric system is the tool of the devil! My car gets forty rods to the hogshead and that's the way I likes it!), the InvariantCulture can just coolly and smoothly stay the way it is. So all those dates you've stashed away in a database in text form using the InvariantCulture will continue to just work...