An insurer is least likely to waive their subrogation rights if the claim is against a:

Subrogation rights allow an insurer to pursue a third party that caused a loss to recover the amount paid to the insured for that loss. In the context of this question, the insurer's likelihood of waiving these rights depends on the relationship between the insured and the party responsible for the claim.

In the case of a negligent third party, there is typically no direct financial or organizational relationship with the insured. Therefore, insurers are generally more inclined to exercise their subrogation rights against this third party to recover costs. Waiving subrogation rights in this scenario would mean the insurer forfeits any chance of recovering the claim amount from an unrelated negligent party, which would be counterproductive to their interests.

Conversely, if the claim is against a parent company, a subsidiary company, or a negligent fellow employee of the insured, the insurer might be more likely to consider waiving subrogation rights. This could occur due to organizational relationships, potential ongoing business connections, or due to the nature of employment relationships where an employee may be acting within the scope of their employment at the time of the negligence. Insurers often aim to maintain good relationships with their corporate clients or avoid conflict within the same organization.

In summary, when the claim is against a negligent