TI's applications engineers for Bluetooth low energy products studied capacity of CR2032 coin cells in pulsed operation at 15mA peak and 30 mA peak. CR2032 coin cells are usually rated for 15mA peak current. The best coin cells showed very little capacity degradation compared to constant current. This is reported on their blog and they've written a white paper.
Their measurements also showed how much variation in capacity there is between vendors, with Sony, Panasonic, and Maxell being the highest they measured, and GP and two no-name brands having only about 50% of the capacity of the better brands.