The phrase "a different appreciation" is correct and usable in written English.
You can use it when discussing varying levels of understanding or valuing something in a distinct way compared to another perspective.
Example: "After attending the art exhibit, I gained a different appreciation for modern art and its complexities."
Alternatives: "a new perspective" or "an alternative understanding".
Because the treatment (an operation) was an intervention rooted in medical science, differences in appreciation might also be attributed to a different appreciation of these sciences.
"It gave me a different appreciation of how different people and cultures shape a way of thinking," he said.
"There's a variety of reasons, whether it's financial, a service attitude, a different appreciation of premium customers or the fact that American carriers have been in the business for a long time and don't change their services and procedures as much as newer carriers do".
But I think they have a different education, or let's say, a different appreciation for it.
It can have tropical beauty and paradise and also a different appreciation.
Trump's daughter Ivanka seemed to have a different appreciation for the historic landmark.
An ethics committee with roots solely in the clinical world may have a very different appreciation than an ethics committee which has more expertise in public health matters.
Having joined Citigroup as chairman of the executive committee, Mr. Rubin now has a somewhat different appreciation of Mr. Weill, a chairman known for his headstrong ways.
So I think they have a totally different appreciation for women and their bodies.
You have a completely different appreciation of food, haute cuisine or otherwise, once you've been in a kitchen like this: the effort, the artistry, the preparation that goes into the delicate, complex flavours.
From the moment we began writing the book I thought I knew who my dad was, but when we finished reading each other's manuscripts I had a completely different appreciation for this man.
