So I'm looking for potential jobs, I got in contact with an agency and they came back with 5 ideal positions and another 5 a few days later (my job role is in-demand right now) so I sent them my CV and they said it looks great however the one thing they want me to change is the fact that I have my contact details written on it... Which is, in my opinion totally normal for a CV, in fact I believe it's one of the most important things, I mean, what kind of idiot applies for a job but doesn't leave a clue how to get back to them? I don't want the employers thinking I'm a moron but at the same time I think I should just do what the recruiters ask because they're very successful in this industry.
Also I feel like my name is better than any phone number or email address because it is so unique, If an employer were to search my name in Google they would instantly find me and no one else. Is there a chance that the recruiters will remove/change my name from the application? Because without that I'm just a ghost so I feel that would hinder my application in comparison to an application where there is a name, so the employer can read it and (slightly) connect with the applicant on a personal level.