When you say “a difference” do you mean a noticeable difference in taste, or a difference where the majority of brews at the different weight exhibit a similar malfunction?
Extraction wise, there will be some normal variation at constant inputs & shot weight out, from my experience difference in taste/preference are larger/more noticeable than those in extraction. So I would still aim for the highest consistency you can. (I use 0.01g scales for dosing, not because I think 0.01g is anything like enough to notice, but because it is faster to dose to 0.1g tolerance with them, especially if your scales that read to 0.1g go up & down in larger weight increments.)
To shift into an area of consistent malfunctions, this might be over a gram increase in weight, decrease in weight may be more tolerant because the worst that can happen is you extract a bit more, which is unlikely to be catastrophic, maybe just a little flatter acidity & more silt. Changing dose weight is not the most effective way to shift extraction, it is very fine tuning after ratio & grind adjustments.
If you have 0.1g scales you are unlikely to be able to dose to 0.1g anyway, your grinder’s dose consistency will be larger than this (no “perfectly zero retention” grinders exist), but your scales won’t show it.
A simple way to look at it is differences in extraction over 1% are likely to be marked in taste 1% is a twentieth of 19-20% extraction, so you might expect differences over a twentieth of 18g to be significant.
All this assumes the same beans & weight of shot out.