And yes You cannot get your private key.
So... ok you may call me a dumb blockhead after all as there is a way to extract your private keys from The New Blockchain Wallet,
although before you start using my new pseudonym please take into consideration that some steps involved in the extraction process
exist outside The New Blockchain Wallet as opposed to Legacy Wallet where one has a direct access.
Before I describe how to do it big thank you and recognition to reliable and knowladgable (as per usual) DannyHamilton for having pointed the right direction.
1. After having logged in The New Blockchain Wallet go to >settings>security>Wallet Recovery Phrase.
2. Click >Backup Phrase and follow instruction making sure you have 12 words (which are given in a few screens) noted/copied.
3. Now outside the wallet go to https://dcpos.github.io/bip39/ .
3. Type/paste these words into BIP39 Mnemonic field.
4. Scroll a bit down and vous voilà! Your private keys are there.
This is main receiving address in the wallet:
and corresponding private key after seeding
I haven't looked at that code yet, so I wouldn't trust it with any wordlist mnemonic tied to any actual bitcoins.
Well I tried it myself as a purely educational exercise without any coins involved but for somebody who has actually their skin in
the game and no other options, it may as well be worth trying.
My conclusions:
1. It is possible to get private keys from The New Blockchain Wallet .
2. Support at The New Blockchain Wallet is not actually that much supportive.
3. If they do not introduce this feature into the new wallet and do automatic switch from legacy wallet to the new one
I for one will be parting my ways with them for sheer laziness of mine (mind you ! the new UI isn't that great either).
4. I'm going to lock this tread up in say 72 hours unless somebody comes in with a fresh idea/method/approach.
Edit: Corrected some wordings.