> All advice appreciated . . .
Exactly what advice are you seeking? All I see here is an axis label free graph. I have no idea what you are measuring, what the time period is and what the temperature was during measurement.
The graphic presentation should have been sufficient, however vague the context, or so I thought. The orange Datron voltage markers appear to fall on straight lines; the blue NI4071 markers appear random. Why is this so? My guess is that it is 'normal' and related to the ADC's in the two voltage measurements. I have seen this before in the context of measuring an 8.5 digit reference with a 6.5 digit meter. The YEUK? command may provide a better explanation. Also there might be averaging in the measurements by the Datron.
More information, like how you collected the readings, how the graph was created and scaled, how the 1271 was configured and all the other information relevant to your problem gives other people the chance to make a reasoned and useful post in answer to your questions.
I suspect there is either something wrong with how you collected the data or configured the meter, or that there's something wrong with your meter.
Here's a short extract from a log where my 1271 was measuring an LTZ1000 voltage reference with the full 8.5 digit resolution. I see no missing digits and no reduction in resolution.
2024-07-05 12:51:23,27.24,48.64,1001.01,+07.1137100E+00
2024-07-05 12:51:39,27.24,48.64,1001.01,+07.1137098E+00
2024-07-05 12:51:55,27.24,48.64,1001.01,+07.1137096E+00
2024-07-05 12:52:11,27.24,48.64,1001.01,+07.1137096E+00
2024-07-05 12:52:27,27.26,48.68,1001.02,+07.1137092E+00
2024-07-05 12:52:43,27.26,48.68,1001.02,+07.1137095E+00
2024-07-05 12:52:59,27.26,48.68,1001.02,+07.1137094E+00
2024-07-05 12:53:15,27.26,48.75,1001.00,+07.1137093E+00
2024-07-05 12:53:31,27.26,48.75,1001.00,+07.1137097E+00
2024-07-05 12:53:47,27.26,48.75,1001.00,+07.1137093E+00
2024-07-05 12:54:03,27.26,48.75,1001.00,+07.1137098E+00
2024-07-05 12:54:19,27.26,48.74,1001.00,+07.1137094E+00
2024-07-05 12:54:35,27.26,48.74,1001.00,+07.1137091E+00
As Kleinstein says, an example of the raw data would have been much more useful to see where the problem comes from.