I was invited by the corporate recruiter of Stater...

I was invited by the corporate recruiter of Stater to respond to a specific IT position, because I am known as looking for other work, and he found my resume, and said that it fitted exactly the role described in that vacancy.
So, please note; Employer invites Employee, not otherwise, as usually happens. - At a given moment, asks if I want to write a letter of motivation, why I would like to apply for that position.
I say, "I want to, you come to me, and invite me, not the other way.
In this case the employer is interested in the employee, actually the employer should write a motivation letter, why they, now necessarily, want to hire that one specific employee ...
What a strange way of looking for potential applicants. Very strange.