Do some car batteries that would fit a 1995 Ford Taurus SW have a smaller body/core than others?

I recall that the last time I had a battery installed at Les Schwab they had a rough time getting it to fit properly. Took nearly two hours. Would it be possible to ask for a battery that is physically a bit smaller this time--or are they all exactly the same size?

Batteries come in various sizes & powers. The battery tray that the car maker puts in a car is fairly generic - The actual battery needed may be smaller then the tray. I always get the largest battery, power-wise, that will fit in the tray, regardless of what power battery came from the factory. First thing they will try is to sell you a battery that they have - If they tell you that the one you need is currently out of stock, that will pretty much mean a NO SALE, & they don't want that to happen.