today I checked other results from users of 23 and me (Tuscans mostly, and I confirm that the story remains the same), so the more I consider the matter the less I understand. I suspect that just as 23andMe has "expanded" this central-southern Italian cluster up to the Po, it has done the same with the French-German towards the south, crossing the Alps, always with a view to what now seems to me a hyper -simplification, perhaps aimed at getting rid of the various “Broadly” components.
Well, everybody complained about the broadly component in the past, some even made 23andme look bad, in comparison to much worse ancestral composition results, because they had high broadly. Yet you can only improve the algorithm between two related populations to assign correctly up to a certain point, since their genetic variation overlaps. At some point you have to decide whether a segment present in both people being assigned to let's say Italian or German, or English or Norwegian. The direction of the gene flow might not even be know and hard to reconstruct, so they decided that if the neighbouring segments are X, the unclear segment should be assigned to X also. Simple as that.
The only way to improve their method is using better references I guess, otherwise what choice do you have? Its a simple question and problem, but the solutions are all complicated and won't be right all the time. There is no easy solution out there, otherwise it would have been long applied by all the companies.
Concerning Italians, you have to consider that even if they score at the same level as Southern French or Northern Spaniards, the reason might not always be exactly the same, because Italians are just more often the result of more extreme component admixture. They have both more extremely Northern and more extremely Southern ancestry.
So if 23andme wants to create an Italian component, they problem is again simple: Either they make it too Northern, then all the Southern Italians will get big amounts of MENA ancestry, or they make it too Southern, then the Northerners will all get a lot of Celtogermanic affinity. It doesn't matter at which end you push, someone will just drop out if a population is that diverse. So they decided for a reasonable compromise, using Central Italians as the reference and therefore both the North and South get some admixture in the results, but not too much, so all Italians should be largely dominated by one generic "Italian" ancestral component.
Think about it, what are the alternatives if they want to please Italian customers?
Concerning the Germanic admixture in Italians, I think it shouldn't be underestimated at all, but only more ancient and historical DNA can help to solve this. Because for a real evaluation, you need to get the right references first.
One aspect of this is, how many German genetic relatives do those Italians with about 1/3 German ancestry have? Could be a hint to more recent, historical migrations too, even after the end of Antiquity.