In terms of performance both are practically the same, your code and design will be the mayor factor affecting speed. Additionally, both APIs are well mantained (in comparison to 5 years ago when dx was much ahead).
In this cases, one option is to choose based on your philosophy and the philosophy behind each API.
Some might need a comercial focus; sell software, invert money, do business. Coming from a business enviroment, where money can speed things up, dx might be well suited for this cases where you can get interesting deals with microsoft at capacitations and developing tools, among other things.
On the other hand, OpenGL is an Open Standard, this means that people can discuss/evaluate and contribute to improve the standard API that will be for the benefit of society in the first place guaranteed. This is more compatible with a scientific approach where the goal might be publish a research, release free software, make a comunnity and get feedback from developers around the world, multiplatform.
They are different views of software evolution, i think that both have their strengths, it is good that we still can choose between two APIs that come from very different backgrounds, but do very similar things.