A general rule when working with extracts is: "only extract the data you need". If you do not need the timestamps for your current (or future) analysis, I would remove them from the extract in order to cut size and thus improve performance.
The impact will be will depend on the number of date fields, their unique values and their detail (does it go down to milliseconds? nanoseconds?), so your mileage may vary.
I would say: give it a go and please let us know if you see a big impact on .tde size and any noticeable performance improvements