It just means that anglophones do dine there, but the translations for French preparations are not always very good. So, you're safer learning how to read a menu in French than depending on the English version. You can always keep a small dictionary handy or just ask the waiter if you're not sure of what you're ordering. Fancy locations mean big rents. Big rents mean big overhead.
Big overhead means overpriced food.
If they have to work so hard to get you in, then you don't need to go in at all. It just seems that most of the restaurants I have discovered with wonderfully warm ambience, great food and reasonable prices seem to have lace curtains. Assume that they didn't have a lot of money to spend on printing. Assume that they prefer the traditional style of putting fountain pen to paper in a beautiful French penmanship. Order the dishes the Parisians order . . .