I had a look through the list in the link provided of what is available via FS. There are some curious features.
The list includes four sets of so-called 'Probate' records. In Scots Law there is no such thing as 'probate' so at the very least these documents are wrongly indexed.
One set of church records is marked as "Scotland, Perth, Dunblane Diocese, church records". The Church of Scotland does not use the term 'Diocese', because a diocese is the area that comes under a bishop, and there are no bishops in the Church of Scotland. So are these incorrectly indexed, or do they relate to an Episcopalian diocese?
Of the other sets called' Church records', six are parochial registers. Six are from one or other of the dissenting churches. Two are labelled 'Presbytery' or 'Presbyterial Council'. (The Presbytery would be involved in a case of discipline only if there was something unusual about it, such as adultery or a persistent denial of guilt over an extended period of time.) And lastly, three are from churches other than the Cathedral church.
None of the FS index listings mentions 'Kirk Session' at all, and there is no mention of 'minutes', which are what you want.
A search on FS using 'Dunblane' and keyword 'kirk session' produces five results, none of which appears to be the Kirk Session minutes.
I also checked for listings on FS of any of the Kirk Session minutes that I have habitually viewed in the Historical Search Room in Edinburgh, and none of them is listed on FS.
You need to do a lot of homework before you head for an LDS FHL to be sure that you know exactly what you want to see and whether or not they actually have the documents you want. From looking through those search results, I don't believe that they do have them, and quite honestly I would be surprised if they did.
Sorry to be a wet blanket!