First, I think you have to difefrentiate between a writer's voice and a writer's style. They are not the ame thing, even though too many use the words interchangably.
But I think you had better consciously develop your writer's voice, and you style, or it's going to take forever to find one that works, and you'll then be stuck with that one voice.
Good writers don't have a single voice, or a single style. They have a difefrent voice and a different style for each type of story they tell. Unless you want to tell the same story over and over, you need to learn to match voice and style to the particular story you're telling at the time.
Every character, including the narrator, is an individual, and has individual experience, speech patterns, education, personalities, likes, dislikes, quirks, backgrounds, etc. This should be as true in third person limited as it is in first person, but writing first person is good practice because the narrator must have a distinctive personality.
And just as every characte ris different, every story, too, should be different. Mood and tone, two areas often ignored by many writers, calls for a specific voice and a specific style, depending on what you want the mood and tone to be.
Reading different types of stories, and studying them, trying to understand why each sounds so different, each feels so different, is, I believe, the best way to learn voice and style.
It's then a matter of putting yourself in the shoes of the narrator first, and each individual character in turn, and of writing trhough that narrator or character. This is the point. Fiction isn't about the writer, it's about the characters and the story. The writer's voice will usually come through in what the writer has to say, though it's always a personal decision on whether to allow teh writer's voice to show through, or whether to say something teh writer would usually never say, or tell a type of story teh writer would usually never tell, in what kind of story he tells, but the writer's style changes drastically according to how the story is told, and who the characters are in the story.
You have to set mood, tone, and narrator's voice right up front, in the first paragraph, and you have to do this consciously. Unless, as I said, you want to tell the same story, and use the same narrator, over and over.