If you pair parents with their children (with a cross-over) does this prevent making individuals which are more fit or does this cause other side effects which are harmful to the genetic process?

I can provide any specifics about my concrete program but don't know what is relevant (and cannot write the whole setup here).

**EDIT:** As I think I figured out the answer myself I'll add the information that I think is relevant,

if I'm wrong, and you'd need more information, don't hesitate to ask (I check stack exchange quite often and am always pleased to communicate).

The relevant information:

2 parents create 2 children with a random 10-point cross-over.

The 10 points get chosen out of 700 lines of dna.

(See my answer for more information.)