The phrase "a process that otherwise" is correct and usable in written English.
It can be used to describe a process that would occur differently under other circumstances or conditions.
Example: "The experiment was designed to demonstrate a process that otherwise would have gone unnoticed."
Alternatives: "a process that would otherwise" or "a process that might otherwise".
Her mother chose an agency that suggested Delaware and helped Ms. Tang fill out her application, guiding her through a process that otherwise would have been bewildering.
It's this union of speed and efficiency minimizing a process that otherwise takes hours that propelled Evisort to catch the eye of everyone from a Columbia Business professor teaching his MBA students about the dubbed "Google for Contracts" to the likes of Mark Zuckerberg, Bill Gates and Jeff Bezos.
The platform does most of the heavy lifting and data sifting for a process that otherwise required a lot of human power.
… He is a prime example of someone who did basic research and discovered a process that otherwise might have stayed hidden for decades".
Each process can be enhanced by the centrifugal field, including the chromatography process that otherwise requires a pressurized system to send the process feed through a chromatography column.
The clear visual and didactic nature of these cleverly composed illustrations provides a glimpse into the creative meditative process that otherwise occurs only in one's imagination.
The new robots, with their ability to work safely next to human coworkers, let manufacturers automate parts of the production process that otherwise would be too expensive.
So I decided to ask for the applications and the basis of the government's choices – a process that is otherwise entirely opaque.
Much of the effort is a recognition that their customers have found that the Web is a way to exert some control over a process that can otherwise be fraught with aggravating surprises.
By working with a community development corporation, Mr. Rappaport could jump-start a process that might otherwise have taken many years of enlisting support in the neighborhood and many more to qualify for subsidies.
He then defended the deal from the conference floor when other world leaders had already jetted home, salvaging some positives from a process that was otherwise headed towards total collapse.
