From what I understand about Wilsonian RG, one of the key insights involved is that if you start with (say a scalar $\phi^4$) theory on a lattice and wish to define a meaningful continuum limit (which is not free or trivial), then you need to tune the bare parameters (like the mass) to specific critical values such that the theory flows towards a non-trivial fixed point in the continuum limit.
The hierarchy problem is often stated as the problem of the fine tuning of the Higgs mass. Specifically, when the SM is treated as an EFT, at one loop order, the bare Higgs mass receives quantum corrections that are quadratically proportional to the UV cutoff (which is presumably the Planck scale). We expect the "natural" value of the observed Higgs mass to be roughly of the order of the largest of these quantum fluctuations, but instead the observed Higgs mass is $\approx 125 GeV$, which implies an "unnatural" fine-tuning and conspiratorial cancellations between the bare Higgs mass and the quantum corrections.
But isn't this Wilson's point? If it is, is the Higgs hierarchy problem a specific example of our general lack of understanding about why this tuning needs to be done in RG in the first place? Apologies and thanks in advance if this is a trivial confirmatory question.
