The battery mentioned is 1/2" too wide to fit in the tray, and 1/2" taller than the BCI Group 25. It will not fit in the tray.
The main concern with using a lithium starter battery is that you would need to use a lithium accessory battery as well. The two batteries must match chemistry.
Further, with that particular battery, the operating temperature is limited to 32-130F. Underhood temperatures are often much hotter than that, and depending on the area of the country you are in you may see many months in a row of temperatures below 32F.