Thanks for all the replies.
I see two separate things here: one is that none of the examples given plays the G - A on the first string. Basses and cellos both have a D string and what the cellos are doing in the one video is just what the basses are doing, namely everything is on the D string except for the low A. (If I overlooked something, just let me know.)
Issue #2 is which fingers to use where. My main thing here is that it's a quiet statement of this tune and regardless of how you finger it, it sounds most right for the piece and the moment with the G and A on the 2nd string.
TL;DR
When I'm talking about "fingering" I'm mostly thinking of where one is going to play the notes on the instrument, and which finger to use is, relatively speaking, a secondary concern. Some of my way of thinking about this is because I was first a classical guitarist and string crossing was mostly a non-issue.
On the bass I was taught, as one example, not to use any "standard" fingering to play a particular scale but rather to explore, e.g., you first learn and I first teach a 2-octave G major by going up the 1st string, but you can go up the 2nd string to C or D then switch over to the 1st string to finish, or go up the third string and play 3rd finger or the harmonic on A and D and then G. And you consider string crossings in all this. And you practice what are essentially made-up difficulties like playing a particular scale with no string crossings over a position switch, or two on a bow but both have to be on the same string. Endless possibilities.
-S-
I see two separate things here: one is that none of the examples given plays the G - A on the first string. Basses and cellos both have a D string and what the cellos are doing in the one video is just what the basses are doing, namely everything is on the D string except for the low A. (If I overlooked something, just let me know.)
Issue #2 is which fingers to use where. My main thing here is that it's a quiet statement of this tune and regardless of how you finger it, it sounds most right for the piece and the moment with the G and A on the 2nd string.
TL;DR
When I'm talking about "fingering" I'm mostly thinking of where one is going to play the notes on the instrument, and which finger to use is, relatively speaking, a secondary concern. Some of my way of thinking about this is because I was first a classical guitarist and string crossing was mostly a non-issue.
On the bass I was taught, as one example, not to use any "standard" fingering to play a particular scale but rather to explore, e.g., you first learn and I first teach a 2-octave G major by going up the 1st string, but you can go up the 2nd string to C or D then switch over to the 1st string to finish, or go up the third string and play 3rd finger or the harmonic on A and D and then G. And you consider string crossings in all this. And you practice what are essentially made-up difficulties like playing a particular scale with no string crossings over a position switch, or two on a bow but both have to be on the same string. Endless possibilities.
-S-