"conceptually appealing" is a correct and usable phrase in written English.
It is typically used to describe something that is thought-provoking or intellectually stimulating. Example: The idea of a society where all individuals are equal and free is conceptually appealing, but implementing such a concept in reality may be challenging.
The Soviet Union peddled the myth that there was equality over there, that gay people would be free and happy, and you can see why that was conceptually appealing to some.
Thin was conceptually appealing and metal suggested rugged luxury.
This approach is conceptually appealing in many respects.
Even though conceptually appealing, the evidence supporting the multistage theory remains limited.
The researchers pursued the analysis not because it was practical, but because it was conceptually appealing, Avron says.
While the use of mAb-drug conjugates for cancer therapy is conceptually appealing, significant limitations have been identified.
But they might give theorists vital clues about how to construct a fundamental theory without dark energy, which might be more appealing conceptually.
So while the idea of such a system might be appealing conceptually, it is not the way our economy really works, and if the Republicans really believe in trickle down, they should stop trying to whitewash the exploitative pyramid schemes of their wealthy donors and come up with a real model for equality instead.
Measurement of the amount of ATP in a cell is conceptually and practically appealing.
So, the concept of the cross-continuum of health, disease, and mortality proposed here is both conceptually and empirically appealing.
But a smaller group of doctors, many in Europe, have favored a less aggressive strategy -- controlling the rate and allowing the atria to continue to fibrillate -- even though that strategy was conceptually less appealing than rhythm control.
