Do you remember the Armavia accident at Sochi in 2006 Flight Detent? The crew used the push to level off function and then engaged open climb within 30secs The accident report stated that by doing so the autopilot is allowed to use a more aggressive maximum value of 0.3g rather than the usual 0.15g.
The report is the only place I have ever seen that written but I have been more reticent to use this function after I was made aware of it.
https://www.bea.aero/docspa/2006/ek-...ek-9060502.pdf