I've run across this problem several times with my family. Even though an individual may have been born more than 110 years ago they still have living children. Since they were born so long ago the Ordinance Request does not query me for information pertaining to permission, even though I would need to obtain it from the surviving children. I'd like to suggest that if an individual shows any living close family relationships, i.e. a living spouse, child, sibling or parent, regardless of when that individual was born, you must obtain permission to perform the ordinance. 
For example, some of my male relatives would become widowed, remarry a younger woman and continue to have children well into their 50s and 60s. Their birth was more than 110 years ago but they still have living children who are now in their 50s, 60s, and 70s and I can bypass the requirement the obtain permission from the closest living relative since it is not required.

My understanding is that the purpose of this policy is to give the closest living relatives an opportunity to perform the ordinances personally. Since it is relatively unheard of for someone to live past 105, that gives the closest living relatives at least five years to complete the ordinances themselves (and since 105 is quite rare, most closest living relatives have a lot longer than that). 
The policy isn't intending to prevent the ordinances from being done at all, the intention is to give the closest living relatives an opportunity to do them first. Once those closest living relatives don't accept that opportunity, then the opportunity is opened up to any relative so that the ordinance gets completed. 
This policy is not about allowing living relatives to prevent an ordinance from being completed, it is about allowing living relatives the opportunity to complete the ordinance themselves.