For a cadetship or any form of internship i would. Gaining experience is a major factor to apply for this type of role. However as you said it all depends on the type of job.
But what distinguishes a good answer from a mediocre or crappy answer? Everyone knows that this is about gaining experience, but many people focus too much on what the job offers you and forget to say what you can offer them. You can't be brutally honest if you want the job.
If I were a recruiter, I only care about what you can offer my company (in exchange for offering you the experience and paying you for it). When you say 'I want experience' or 'It gives me a good opportunity to develop my skills' etc in answer to 'Why do you want this job?', it comes across as selfish and certainly doesn't distinguish you from the rest of the crowd when there are plenty of others who are more passionate about the position than you are. What can you give to me that is worth the money I am willing to pay you?
A better answer would be something like (say for a tutoring position) 'From my experiences in ......., I have developed into a person who enjoys helping others. Given that ...(name of tutoring company)... prides itself in the success of its students, I believe this position will provide an opportunity for me to bring my passion for helping others to the team and am committed to helping the students achieve their goals.'
This statement links what you are after (experience/opportunity) to what you can offer them (and also provides evidence of this attribute from past experience), which is viewed more favourably by recruiters. Basically in lamens terms the statement from a recruiter's point of view reads 'I love helping others and I notice that your company is all about helping students succeed, therefore I can show your company how much I love helping others and help your students succeed as a result'
In job applications, you should be thinking of the jobs as an opportunity to demonstrate your skills and knowledge, not as a platform to develop them (whether or not that is the reality is a different story).