there is no requirement for you to use TOGA thrust to meet the performance climb gradient.
No one disagrees with you there.
Even if you are using an assumed temperature for take off you should select CON after 5/10 mins
No one disagrees with you there.
HOWEVER, if you get to 5 or 10 mins and you feel you need to use it for a longer period of time then USE IT!
No one disagrees with you there.
there is nothing written that specifically applies a time limit to any power setting other than TOGA.
Have you looked up the engine section of the FCOM on MCT? It's pretty obvious in any case, isn't it?
We all know whats[sic] implied by the use of the words Max Continuous Thrust,
Do you really? Up to now you seem to be having a great deal of trouble with it.