In the ever-evolving landscape of software development, TypeScript has emerged as a compelling superset of JavaScript, offering static typing, class-based object-oriented programming, and compile-time error checks. This has led to the growth of a new breed of professionals, TypeScript developers, who have the expertise and skills to leverage this language in the software industry.

TypeScript developers are essentially software developers who specialize in TypeScript, a statically typed language developed and maintained by Microsoft. This language is a syntactical superset of JavaScript, which means that all JavaScript programs are valid TypeScript programs. TypeScript, however, takes it a step further by introducing static typing, classes, and interfaces for complex software engineering projects.

The allure of TypeScript is in its ability to catch errors at compile time instead of runtime, a major complaint about JavaScript. This proactive error detection makes TypeScript an attractive choice for large-scale applications where catching errors early in the development cycle is critical to save time and resources.

TypeScript's coupling with JavaScript is another asset. JavaScript, due to its ubiquitous presence across the web, has a vast repository of libraries and frameworks. TypeScript developers, therefore, have the advantage of using these libraries and frameworks while also harnessing the power of static typing.

TypeScript developers operate in a wide range of industries and sectors. Any situation that calls for the development of large-scale applications or the maintenance of legacy JavaScript codebase would benefit from the skills of a TypeScript developer.

One might wonder, where and when did TypeScript come into play? TypeScript was introduced in 2012 as a solution to the growing complexity of JavaScript applications. As the scale and complexity of web applications grew, the dynamically-typed nature of JavaScript proved limiting. TypeScript stepped in to fill this void and has since become an indispensable part of the JavaScript ecosystem. TypeScript's popularity has only grown with time, with tech giants like Google, Microsoft, and Slack utilizing it in their tech stack.

The modus operandi of TypeScript developers involves translating business requirements into code, writing and maintaining TypeScript code, and working with other team members to integrate individual components into a larger system. They may test and debug TypeScript applications, use TypeScript to write front-end code for server-side applications and APIs, and even use it to write server-side code with Node.js.

Comparing TypeScript with JavaScript, TypeScript, with its compile-time checks, offers a safety net that JavaScript does not. On the flip side, TypeScript's static typing adds an additional layer of complexity to the development process. Additionally, TypeScript's relative youth means that there are fewer available resources, tutorials, and third-party tools compared to JavaScript. However, with TypeScript's growing popularity, this gap is narrowing.

Of course, it’s imperative to consider that every technological decision involves trade-offs. For instance, while TypeScript offers many advantages, it might not be the best choice for small projects or for teams with a deep knowledge of JavaScript and strong testing workflows. The choice between TypeScript and JavaScript, or any other language, depends on the specific needs and constraints of the project.

In conclusion, the role of TypeScript developers in the software industry is to leverage the benefits of TypeScript to build more reliable and maintainable software. They operate at the intersection of JavaScript's flexibility and TypeScript's safety, bringing their unique skills to bear on a wide range of software development projects. While their tools and techniques may differ from those of their JavaScript counterparts, their goals are the same: to write efficient, effective code that solves real-world problems.