Why high-end cable manufacturers don't post measurements?

^^^^You don’t have to spend mega bucks to obtain high quality cables. There are plenty of cable brands that offers great value for your money.  Look into Audio Envy...they were the end game cables for me. 

Do they still put batteries in cable? I know that was very popular at one time.

They probably do but it would be so complicated  and confusing  .That you need to be an Techinal Engineer to understand it.

Purist does post some measurements - resistance and capacitance, although not inductance.  I think they also make some excellent cables. 

@tobor007 

Do they still put batteries in cable?

That was an Audioquest thing and they are apparently still doing it.  A description and link to a white paper follow.  Believing is up to you.

DIELECTRIC-BIAS SYSTEM WITH RADIO FREQUENCY TRAP
All insulation between two or more conductors is also a dielectric whose properties will affect the integrity of the signal. When the dielectric is unbiased, dielectric-involvement (absorption and non-linear release of energy) causes different amounts of time delay (phase shift) for different frequencies and energy levels, which is a real problem for very time-sensitive multi-octave audio. The inclusion of an RF Trap (developed for AudioQuest’s Niagara Series of power products), ensures that radio-frequency noise will not be induced into the signal conductors from the DBS field elements. (DBS, US Pat #s 7,126,055 & 7,872,195 B1)

http://tools.audioquest.com/downloads/literature/learning_modules/Dielectric-Bias-System_(DBS).pdf