Ultra thin watches today are very accurate and are reasonably close to the accuracy of normal watches. Furthermore, ultra-thin timepieces are more carefully tuned so they can achieve a higher potential for better accuracy.
Thus, if a normal Jaeger-LeCoultre timepiece has sufficient accuracy for your requirements, an ultra-thin 849 caliber is not likely to be significantly worse. It is likely an 849 caliber would be slightly less accurate than a normal JLC caliber, but it shouldn't be extremely noticeable.
However, let's say you're comparing the Vacheron Constantin Ultra Thin with a special Vacheron Constantin Chronometre Royal that's been tuned to win accuracy awards. Then there may be a more substantial difference.
However. If you're expecting superb accuracy, like Vacheron Constantin Chronometre Royal accuracy and to win observatory tests, a watch under 2mm thick is less likely to be as accurate than a superbly tuned watch of normal thickness. Keep in mind, a watch designed for observatory test trials is specially tuned to be superbly accurate. There are many strategies to achieving accuracy; high beat, small escapement wheel (the small escapement wheel has less inertia and can spin faster, but because it's smaller it is more susceptible to shocks, but the high beat means it can recover and average out the shock faster); low beat, large escapement wheel (large escapement wheel is less susceptible to shock, but the slower beat means if the watch is successfully shocked it will take longer for the watch to recover).