The logging project of TiN and Plesa already includes a BME280 as the preferred environmental sensor. So they include temperature, humidity and air pressure.
The change is really not that much: it more like extreme changes (e.g. storm to good wether) that could give you a 1 µV (0.1 ppm) change one might be just able to notice if one has a good stable reference that does not have the same influence. At that level there are not so many ref chips to choose from (old Motorola SZA2.., LTFLU, LTZ1000 and LTZ1000A and maybe old ZD based). So the main unknown is how the LTZ1000 is performing.
The thing is, that to do the correction one would need to know how much effect is there - such instruments usually don't have the number on it - though it might be a good idea for the high end ones. The only point where this might be important if you send a high end instrument for calibration to an very different altitude - so calibration in Bolder Colorado might not be the best option for every one at see level. Still this would be only 170 hPa or maybe 0.4 ppm.