This phenomenon is known in the entertainment industry as “Typecasting.” You can probably wiki it, or just put it in your search engine to explore it. Many actors struggle to overcome this. I think, personally, Sean Connery has done so. His performance in The Hunt For Red October for example, and many more.
The key, for me, lies in the term “Suspension of disbelief,” another term to explore.
How the truly great actors can transform themselves, “become,” the character they are portraying. How I can sit there, and due to the excellence of the performance, not find myself saying, “This is Sean Connery acting the part of a Submarine Commander,” and just sit back and get “lost” in the film…suspension of disbelief. That’s also why I can never really enjoy Sci-Fi films, or even this latest one, that won all the awards…I took a look at the trailers, and said to myself, “Hey, their faces are blue, how silly.” I’m too much of a skeptic, I suppose. I may be the only person on earth who has never watched a complete “Star Trek” segment. Just not my cup of tea. Believeability is in the eye of the beholder, perhaps, as is beauty.
Consider Donald Sutherland’s leap from, say, his role in “Kelly’s Heroes” to his performance in “Eye of the Needle.” This is an earmark of the great ones; too many to name. Paul Newman, Meryl Streep, a long, long list. Some actors can be termed, “character actors,” and have a reputation in the industry which enables them to be called upon when a Producer needs a “bad guy” or a goofy, lighthearted sidekick. They make a fine living at this, and have become content with their function.
Bit of a ramble…just thinking out loud. Hope this helps some.