If you're looking at a website with more than 10 million sessions (referred to as "hits" in their T&C's) per month, Google Analytics (GA) would apply session sampling to your data (unless you are paying for their Premium version).

There is a warning shown in the GA interface and you'd find the corresponding one in SEOmonitor's Organic Traffic module as well:

The data sampling is justified on their side as a way of providing your reports in a timely fashion and it refers to both sessions and conversion data. It extrapolates the values available for previous timeframes, so that data for the current timeframe would still be accessible (though "sampled").

Misalignments between GA and SEOmonitor would occur when checking timeframes, rather than daily values.

Even in GA alone, there would be a difference between the information shown for a certain day, when hovering over a longer timeframe selection, and the one shown per day, when it is only that exact day that is selected.

Both the longer timeframe selection and the individual day selection would "suffer" from sampling, but the day-by-day one would be less sampled. The data we extract from GA is at a daily level, so even if sampled, it is as comprehensive as possible.

You'd need to make sure that in GA you have selected:

The usual pattern of behaviour would be to check the reports for longer timeframes, for example one month. For the reasons mentioned above, the monthly totals from GA would be different to the ones in SEOmonitor, so the cross-checking should be done for each day separately.