The measurement problem happens when trying to insert a meter into the circuit -
And as I said, if you didn't see a change in power consumption when you removed a power LED there's something wrong with your measurement procedure
If A0 is floating there's no sensible way to figure out what the voltage there should be - if it's any concern temporarily add a jumper to gnd.
When I'm not using the meter I can calculate current consumption by how long the batteries last till they need to be recharged - if it was 5-10x faster than the expected value I'd probably notice :).
Going over 3.6V worries me because you can get breakdown current which can cause problems - extra heat at least - maybe that's the case here?
No idea why your VCC measurement through A0 would be odd - unless you left an external voltage divider in place? To measure VCC they say that A0 must not be connected (I believe it's because there's an internal voltage divider and external input would mess it up).
No any external divider . What i have is only ESP 12 soldered on white board - that's all. By checking voltage on A0 pin i see strange value in 2.8V. Did you remember i wrote you about the issue with my soil humidity sensor that returns different values of voltage in different places of code by the same function. I suspect the same roots of it . Eventually i was able to use only the call of "getbatteryvoltage" at the end of loop in if (noSleep) block. All others attempts returned different and not true figures.
Page 13 in the ref it says the value is only useful between 18 and 36 for 1.8V to 3.6V. That would suggest to me anything outside of that range is indeterminate.
Can you change your code

It does seem like you will need a regulator
"The range of operating voltage of ESP8266 is 1.8V ~ 3.6V, the unit of
vdd33_const is 0.1V, so effective value range of vdd33_const is [18, 36]. If
vdd33_const is an ineffective value in the range of (0, 18) or (36, 255),
ESP8266 RF calibration will be 3.3V by default."
Suspect that all of my ESP might be broken. I purchased them in one place ,maybe fake variant... I'm gonna buy one or two ESP12 at weekend in local shop and check how it works.Too much weird behaviour from them.... Fellow who is experienced in ESP told me that the presence of voltage on unsoldered A0 - is bad trait.What i don't understand completely - why it works in programmer but doesn't works on white board....
Voltage leakage between pins by solder or on the printed board itself?
Change your code to print out VDD every loop
You know... it's a huge headacke - from one side it's better to have one seller because sending every small things with tracking number quite expensive , but without it almost means you'll never recieve it, from other this lead to situation when seller sends you all of bullshit that they have. Afterall you spending a weeks in attempts to figure out what's going on. Good harware works as promised.... 18-20ua in deep sleep.
Everything, including our hockey, is cancelled here until further notice :(.