Use organization name in main list if no other name is provided
Use cases
Imagine having to save a contact related to a business, maybe for a customer facing telephone number. In that case maybe having a "Name" field is not appropriate, you can use the field "Organization". In that case you end up with a contact that doesn't have a "Name" field, but has an "Organization" field and a "Telephone number" field. In this case the contact shows up in the main list with just its phone number and it's difficult to understand whose number it is.
Desired behavior
I suppose it should show up in the main list using the "Organization" field, instead of the telephone number.
Benefits of the solution
This would help recognizing easily the contacts in your list and would be consistent with what Google does for its contacts. This last thing is especially relevant in case of contacts synced through online accounts.
Possible drawbacks
I understand the use case is a corner case