Not really, very few diagnoses benefit from such historical data.

Any lab value flagged as abnormal is typically >95%ile meriting some form of further investigation (whether that’s continued follow up/repeat blood work or a different test depends on what we’re talking about).

The tests that could be physiologic for a patient outside of reference ranges (e.g. mild LFT elevations) will often just get repeated to establish stability as you propose. There isn’t a compelling argument to do this prospectively before symptoms start.