Help solve tangled transformer freq contradiction against induction heating

[abdulbadii]

As a transformer frequency get higher, inside its induction get more efficient i.e. less loss:

1. Hysteresis loss = η * Bmax^n * f * V
2. Eddy current loss



First, it seems that losses increases with increase in frequency...
But the above equations are valid when max flux density Bmax remains constant.

The gist is that in Hysteria loss when increasing the frequency flux density does not remain constant, it actually decreases with increase in frequency, as

V = 4.44 . Bmax . A . f . Tp

The gist is that in Edd current loss is  it's independent of the frequency as it gets canceled in substitution


Now how is it on Induction heating, as it's read more, the more contradiction is to above
https://en.wikipedia.org/wiki/Induction_heating

Please help unravel this, thanks much