No. Unfortunately the T version does not use Time Sync even when receiving corrections.
The mechanical shutter is not the main reason for the lack of accuracy/precision, it's the fact that DJI wants to make you buy both drones if you want to do thermal work and mapping by not having Time Sync on the T.
If you pause for each image you can get it tighter, but when flying a moving mapping grid flight, your horizontal will be the same as normal "GPS" only. The vertical is better and in tests I ran was within a meter for several maps.
You can always place GCPs to get your desired accuracy.
