My NE555 had a power consumption of ~4mA. This was an improvement compared to the powerdown of the ESP8266, but still not good enough. Another problem is, if the ESP finishes earlier and goes powerdown the 555 can not react to this, so we have a high power consumption.
Since Christmas I have some AtTiny13 chips and by using them I can further reduce power consumption. With a little program I wrote I have the same timings but I have also a power off pin. And it only uses 0.3mA which is a great improvement.
Here is the SRC Code: https://gist.github.com/mcenderdragon/6931ce6ea47e0d66e6cdf4f1b2c24591