It's a matter of perspective though. The employer wants loyal employees, because recruitment is very costly to their business. Generally, people can leave jobs much more quickly than they can join and competence and experience take time, often years, to develop. So every time an employer loses an employee they face the cost of the recruitment process, losses of efficiency during any interim period (and possible costs of temp hire or overtime) and then a period of reduced efficiency as the new employee gains competence and experience.
What you are all writing above, about loyalty being nonsense is entirely the employee's perspective (and not all employees think that way). The OP was asking a question about an application. So yes, whatever your personal view of your loyalty to your employer - past, present or future - never let on to a future potential employer that you don't rate loyalty as a positive attribute that you have, because they value it, even if you don't.
Remember, some people are loyal to their employers, and those are the people employers are looking for.