Apparently trio-phasing does do a big difference, increasing mainly the recall, I'd guess. The higher the level (sub-regional -> regional -> continental) the higher the precision and recall. French&German, btw, is a cluster with low recall: just 20%. Meaning a good chunck of it must be "hidden" as Broadly Northern European, which is not necessarily an imprecision. See, you got 9.8%, but it doesn't mean they are assigning wrongly most of the other actual F&G %. A low recall generally is somewhat balanced by the precision of the "competing" clusters. So, it's like these other F&G %s are liable to additional controlls - so to speak -, related to the precision of the other clusters, generally high, and they would tend to be assigned, in your case, to the Broadly Northern European, which in turn has a good precision "and" recall. F&G is really a difficult cluster anyway. Not sure they'll manage to "solve" its low recall.
That said, there is still a margin of error, naturally, not just as suggested by the very numbers provided by 23andMe, but also because some countries are just complicated. I doubt their references cover all Italy, for example, which would mean some results don't fit in their statistics - not based on "all" kind of Italians. Trio-phasing made my results almost perfect. However, my mother is still getting too much Northern % (31.9% of F&G + 1.3% B&I + 5.4% Broadly NW. E.). Yes, it may be shared ancestry, but it doesn't matter, given the purpose of Ancestry Composition. She is Italian in ancestry, certainly for more than 500 years, and 23andMe statistics don't fit in her results. Nor father's (but his results are not that off as my mother's). Now, I wanna know how they will solve that without compromise other clusters.
Anyway, this likely don't apply to France (the country) at the same level, then I guess the related precision and recall are more realistic here.
Still, I believe Ancestry Composition is the best. Besides, there is this tool showing which regions likely match etc. It compensates it a bit. My mother is well placed in this tool.
@Angela
Sorry! I got more Italian than you in new version: 85%.

;)