The phrase "actually contrary" is correct and usable in written English.
It can be used to emphasize that something is in direct opposition to what was previously stated or assumed.
Example: "The results of the study were actually contrary to what we had expected, revealing a surprising trend."
Alternatives: "in fact opposed" or "truly contradictory".
"I look at a lot of Chinese wallpaper, and I've never seen one where the idea is actually contrary to the average idea," he said.
Perhaps they're not frightened enough, but they do appear to realize that the possibility of being replaced is not actually contrary to natural law.
Actually, contrary to her notion that all D.C. traditional public schools are low-performing, the District has a number of high-performing schools.
However, in current studies of fractal tree-like networks used in microchannel design, the wall was always regarded as a non-porous structure, and the porous tissue surrounding the network was overlooked, which is actually contrary to the real plant branching system, where water can penetrate into the surrounding tissue through the permeable wall.
According to some legal experts, this EU position is actually contrary to its own laws that commit the bloc to pursuing a precautionary approach; but there it is, that's the agreed position.
You effectively have a federal government attempting to force municipalities to change their policies, which is actually contrary to how you'd expect a traditional Republican, conservative government to act.
He added: "The ANC has actually done contrary to the archbishop claims.
That is, he rejects the radical abolitionists' call for immediate emancipation that would, actually, run contrary to constitutional provisions.
Recognizing and learning from near misses isn't simply a matter of paying attention; it actually runs contrary to human nature.
"They've had an ideological fixation with taking on the government in relation to sending any young offenders to Barwon prison and they're actually acting contrary to their best interests, in my view," she said.
Some of the things that are due to luck may also be due to artificial contrivance; but many are independent of art, as for example those which are due to nature-though, to be sure, things due to luck may actually be contrary to nature.
