Visitation 'Record' And Relocation: Will a mother's record of honouring visitation be relevant if she applies for relocation from Israel?

Yes, especially if she has a poor record, and frequently sabotages or interferes with visitation. A parent's willingness and ability to maintain contact with the other parent and to recognize his/her legitimate role and rights – and the importance for the children of an on-going relationship with the other parent– is a vital factor. A court could refuse relocation because of a mother's poor record on this.
Abduction From Israel