The idea that the long term cooling has stopped is highly improbable. We know that the current strong La Nina will cause a short term cooling which can be equal to the warming trend of a decade but once the La Nina gives way to either typical conditions or an El Nino the warming trend will continue.
That's another problem with the argument put forth by you guys. You are heavily relying on an El Nino to bring back the warming trend that hasn't been observed over the past decade.
Unfortunately for that argument, the PDO has gone negative, which would favor more and stronger La Ninas over the next 30 years, and make El Ninos fewer and weaker. Any El Nino that does form, should be weak, and should not raise the LT/Surface temperature much, so the flatlining temperatures/slight cooling should continue for the next 3 decades at least, IMO.
The sun is very inactive, which may make the period of flatlining/slight cooling even longer.