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"The digital comes with 2 check weights, one 20grams and another 30grams."
I hope you mean 20 and 30 grains.
Your concern over a .2 grain 'error' may be misplaced, it isn't likely to be consistant over the range. The greatest error in any beam scale is - usually - at the max end of the range. And the percentage of error should be consistant, so it won't be off very much at 5 grains.
Second, IF you believe any presumed precise book charge, such as 5.2 gr., is safe simply because it's in a book you are mistaken. IF that were true, there would be no cautions for us to "start low and slowly work up to max unless you see signs of over pressure sooner." A load properly developed and chosen as a "max" charge when using your own scale can be duplicated tomorrow or in 2020 on that scale; repeatability is the kind only of precise 'accuracy' we reloaders really need for powder!
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