Yes, it's called science.
> With more data, we will have more and more exceptions, which cannot be explained by patches to mainstream theory.
At which point we hopefully come up with a new theory which fits the observations, and leave the current mainstream theory behind. This happened for example when General Relativity was introduced.
Until we find a new theory which fits all the observations, we have a transition period where things are a bit confusing. See for example particle physics before the QCD model tied it back together. Now we're starting to see cracks in the the current standard model of particle physics, so something new is likely needed soon. This is science.
> I see just aged spectrum. IMHO, it's helium. :-/
The power spectrum I linked to is the angular power spectrum of the CMB. It's not the spectral density. The horizontal scale is (in essence) angular separation, not frequency.
How does helium explain the peaks in the angular power spectrum? Link to some calculations please.