Thank god for 48 hours rule, I almost missed this.
Everything about this scaling is
perfectly consistent.
1) Goku does imply he'd be able to be of great help as the first scan shows. He also
only considers Frieza too much of a threat once he transforms into his third form, where Goku says that
NOW he isn't sure he could beat this form of Frieza, which again implies he believed he could beforehand.
2) Goku is now capable of going Kaioken x10, which is again consistent with him scaling relative to Second Form Frieza,
as his original power level is 90 thousand, meaning his Kaioken x10 Power level would be in the ~900 thousands as well, very close to Frieza's
one million.
3) This is scaling Goku to Second Form Frieza's
casual AP, not his full power. This is because First Form Frieza had his AP from a rather casual feat,
he did with one finger and laughing, meaning it took a insignificant amount of power to do it. This means Goku isn't "fully scaling" to Second Form Frieza's full power like some people said here.
There is no contradiction, and I believe I provided evidence for consistency. For these reasons, I disagree with OP.
EDIT: Furthermore, in any case, Goku should absolutely be downscaling from First Form Freeza with Kaioken x10 simply by having a higher power level than him, so this is the bare minimum we'll be taking from this thread