I am just another 'lowly' User/Patron ...
[ And, I happen to be a Member of the Church ... ]
Just in passing ...
I am not quite sure what you mean by: "...Where is there a difference in "Helping others" for LDS vs Non-LDS"
Please be, aware; and, advised, that ...
The "Help Other" feature/facility/function, in 'FamilySearch', is ONLY available to, Users/Patrons, who ARE Members of the Church.
Users/Patrons, who are NOT members of the Church, DO NOT 'see'; and , DO NOT have access to, the "Help Others" feature/facility/function.
IF, that is not what you are referring to; THEN, please advise/clarify.
I hope, that this may help/assist, somewhat.
You have asked about the "Help Others" feature. This feature is not used by our public guests and will not appear at the upper right of their Family Tree pages. It is a feature that allows a Member user to sign into their own account and then use credentials that have been provided to them by another to see the other person's pedigree so they can assist those who are just learning how to use Family Tree.
Only those with Member accounts can review the article about Helping Others. Public users get the following message if they search in the Help Center with "Help Others".
A Public user can go to the Help Center and click Helper Resources to generate information about expanding their Family History efforts.
Member Accounts will show different information on the Helper Resources page.
Finally, as we toggle to the new Home Page view, the Help Others button that has always been at the upper right for member accounts is no longer on the Home Page, however, you can still find the Help Others button if you have a member account and go to the pedigree view or to the person details pages in Family Tree.
I hope this will answer some of your questions about the difference between using Help Others with a public account or a member account.