'does not only mean' is correct and usable in written English.
You can use it when talking about something which has multiple meanings or implications. For example, "Love does not only mean romantic feelings; it can also denote respect, care, and friendship."
It does not only mean some tyrant's capacity to suspend a punishment he has himself inflicted.
However, this does not only mean sudden downturns, but also suggests faster recoveries.
"To do something bad in Japan does not only mean breaking the rules but also doing something that society does not permit".
All in all, I am deeply convinced that promoting diversity does not only mean instigating positive values, it also paves the way for business growth.
Overcrowding does not only mean the 18,000 men currently forced to share two to a cell designed for one; it also means the continual movement, or churn, of sentenced prisoners from one cramped institution to another to make way for the remand prisoners who need to be held near the courts.
And for Jeb Bush, listening to people does not only mean hearing traditional Republican supporters.
It doesn't only mean changing procedure – one of the biggest challenges for me has been to change attitudes.
Pope Francis's emphasis on mercy toward the divorced and remarried doesn't only mean that those people will more freely partake of Communion.
"Now I get to say, 'I only want to work with people who are pushing the needle,' and that doesn't only mean with the storytelling, but also with directors, producers and creators".
Jeff Wilpon said that talks about the field's configuration were very preliminary and added: "Just because we say we're going to reconfigure doesn't only mean coming in.
This doesn't only mean being a teaching assistant.
