Mike,
We need to keep in mind that the LM350 is a Voltage Regulator.
Hence it is specified like a VR :
Load and Line regulations being the most important characteristics and
ref. voltage accuracy and adj. current change the 2nd in importance.
Look at the datasheet from Ti,
they spec only for Vin-Vout= "dropout voltage" greater than 3V.
and for load regulation above 5V!
If we want a solid design(worse case design),
we should comply with the manufacture's specs.
The device may still work if we don't ,but the results are not to spec anymore.
So,like you said:
"I have observed the 350 still supplying current
to 6v batteries with a delta as low as 2 v"
Was your design a voltage regulator?what was the regulated voltage and it's stability?
Or was it a current source?what was the regulated current and it's stability?
In any case the out of spec working conditions had an effect on
charging current,charging time,and maybe battery life time etc.
View attachment 22362
I guess you studied vacuum-tubes as well...
Yes we forget a lot(and it is frustrating ,me too).
Nowadays in EE field ,2 years are a generation ,10 years an era...