Sir Walter de Cantilupe - Douglas Richardson left out this generation?

Richardson stated the William de Cantelowe who died 1239 was the son of Walter and Amice,where GENI has his parents as Walter of this profile and Sibilla de Braose, and his grandparents as Walter and Emecina (Amice?)

Unless you want to read it all, I suggest you CTRL-F for Walter.

https://soc.history.medieval.narkive.com/pIcw3ChP/parentage-of-sir-...
Douglas Richardson,
Given these records, it seems apparent that Sir William de Cantelowe
(died 1239) was the son and heir of Walter de Cantelowe (living
1201-2), by his wife, Amice.

Further down in another posting, Richardson states Walter was living in 1216
CANTELOWE FAMILY
1. WILLIAM DE CANTELOWE, married _____.
2. WALTER DE CANTELOWE, living 1216, married AMICE _____.
3. WILLIAM DE CANTELOWE, died 1239, married MASCELINE (or
MAZRA) DE BRACY.
4. WILLIAM DE CANTELOWE, Knt., died 1251, married (1st) c.
1215/6 MILICENT DE GOURNAY; (2nd) after 1232 MAUD FITZ GEOFFREY, died
1261.
5 (by1). WILLIAM DE CANTELOWE, Knt.,died 1254,
married before 1241 EVE DE BREWES.

The GENI dates of birth and death don't work very well, and the children don't match other sites very well either. Other sites have other fathers, dates, and children.

http://fmg.ac/Projects/MedLands/ENGLISHNOBILITYMEDIEVAL3.htm#Willia... States Walter died after 1190 and his children were William, Roger, and Fulk.

Sir Walter de Cantilupe states Walter and Emecina were the parents of Walter of this profile b. 1098-1148 d. aft. 1190 and his children were William, Thomas, Maud, Roger, and Sibilla. Wives were Sibilla de Braose and Melette

https://www.wikitree.com/wiki/Cantilupe-38 states William was the father of Walter 1133-1204 and Walter's children were Maud, William, Fulk, Roger, and Mabel. Wife was Melette Dinan.

https://www.findagrave.com/memorial/110551420/walter-de_cantilupe states William was the father of Walter lived 1128-1182 and children were Thomas, William, and Maud. Wife was Sibilla.

https://our-royal-titled-noble-and-commoner-ancestors.com/p225.htm#... states William was the father of Walter who d. aft 1155, children were William; Robert Barat; & Roger Orget, Nichole, Sybil, and Isabel. Wife was Amice.
Citations
1    [S4] Douglas Richardson, Royal Ancestry, Vol. II, p. 73-75.
2    [S4] Douglas Richardson, Royal Ancestry, Vol. II, p. 73.
3    [S4] Douglas Richardson, Royal Ancestry, Vol. II, p. 74.

Sources are slim. GENI gives Internet trees, Findagrave, and SOME EARLY ENGLISH PEDIGREES. With the later, I get three snippets if I search for Cantelou, and they aren't helpful. Should I look for another spelling?

Perhaps Richardson is correct, and this generation should be deleted? Walter and Sibilla de Braose would be removed making the father of William de Cantilupe 1158-1239 become Walter d. aft 1216 and Amice.

Any sources to indicate Richardson is wrong?
If Richardson is followed, does the father of Walter, the husband of Amice, become William?