That’s why you buy NICs with hardware timestamp support and enable PTP. You can detect clock drift within a few packets.
Race conditions are mitigated, not by clocks, but by other logics. The clock was just something done after frustrations in reading distributed logs and seeing them out of order. Logs are basically never out of order any more and there is sanity.
For a small web app, fine, but if you're running enterprise level software processing billions of DB transactions per day, clocks just don't cut it.