Margaret Lindsay, Lady of Lamberton - Pedigree for Margaret de Lindsay, of Lamberton - does it need correcting?

Currently on Geni we follow what medievalist Hal Bradley described at

https://freepages.rootsweb.com/~hwbradley/genealogy/aqwg2431.htm#54316

Margaret Lindsay, Lady of Lamberton daughter of Sir William de Lindsay of Lamberton & Alice de Lancaster, of Windermere with Alice as daughter of Gilbert fitz Reinfrid, Lord of Kendal & Helewyse de Lancaster, of Kendal

This is not the same as how I am interpreting the Scots Peerage (1911) Volume 3 “Lindsay, Earl of Crawford”, page 4:

https://archive.org/details/scotspeeragefoun03paul/page/4/mode/1up

Sir William de Lindsay, Lord of Lamberton, Sheriff of Berwickshire,6 witnessed a charter of King Alexander as William, son of Walter de Lindsay. He also held Molesworth and Caldecote of the earldom of Huntingdon.7 He was ambassador to England 1237, and party, as a baron, to the treaty between Alexander n.8 and Henry in. in 1244.9 He married, about 1220, Alicia, daughter of William de Lancaster, Lord of Kendal, by Agnes de Brus, co-heiress with Helewise, wife of Peter de Brus,10 of her brother William de Lancaster,11 and died about 1247.

[then it skips a line and continues]

Walter de Lindsay,12 Lord of Lamberton, Molesworth,13 etc., Sheriff of Berwickshire, and Justiciar of Lothian,14 inherited a vast property in Lancashire and Westmoreland (including most of what is known as the Lake District), in right of his mother, …. His wife's name was Christian, who was married, secondly, in Scotland, to Walter de Percy of Kildale,2 as attested by King Alexander in. 23 September 1274.3 …

This great baron died on All Souls' Day 1271 ,4 leaving issue : —
1. William, his heir, and perhaps two others.
2. Gilbert5 thought to be identical with Gilbert de Molesworth,6 and
3. Walter of Parva Lamberton.7 Probable ancestor of the Lindsays of Thurston.8
4. Margaret, wife of Sir David de Lindsay.
5. Alicia, wife of John Comyn of Badenoch and Tynedale.9

On Geni we are showing Margaret de Lindsay, Countess of Saltoun as the daughter of Christian & Walter de Lindsay, of Lamberton & Molesworth

http://fmg.ac/Projects/MedLands/SCOTTISH%20NOBILITY%20UNTITLED.htm#... has

WALTER de Lindsay ([1231/32]-2 Nov 1271). A writ dated 25 Dec "31 Hen III", after the death of "William de Lancastr" names "Peter de Brus of full age and Walter son of William de Lyndeseys aged 16 are his heirs", … "Walter de Percy of Kyldale" paid a fine of 80 marks for marrying "Cristiana widow of Walter de Lindeseye" without King Edward’s permission by charter dated 14 Jun 1275[911].

Walter & his wife had [three] children:

b) [MARGARET de Lindsay . Balfour Paul shows her parentage and marriage[917]. m DAVID de Lindsay, son of ---.]

https://www.stirnet.com/genie/data/british/ll/lindsay01.php#alexdau Shows Walter with 5 children as in TSP. And it might be easier to visualize at https://www.clanmacfarlanegenealogy.info/genealogy/TNGWebsite/getpe... - which shows Margaret marrying 2nd to William Abernethy, 1st of Saltoun.

I have not yet checked “Lives of the Lindsay’s” for this area.

Is there any reason we should “not” reconform as per TSP?

Tagging Private User in particular.