Normally I would discount Decker-Hauff's theories; they are usually not accepted in some of the profiles in The Henry Project, and apparently he has been found to have falsified some of his sources - see his German Wikipedia page.
However Theory 2 actually predates Decker-Hauff, and is in Genealogisches Handbuch zur Schweizer Geschichte Tafel I (unfortunately the first page is badly scanned and difficult to read but Bertha von Buren is married to the Berthold labelled as no. 3) and then in Tafel III is the Grafen von Habsburg, which has the Lantold/Lancellin, father and son, with a daughter of the second Lantold named Luitgard (with a ?) married to Berchtold (Bezelin von Villingen). Interestingly the wife of Lantold II is named Berchta, but presumably not the same person as Bertha von Buren.
However the mother of Berthold I (mit dem Barte) or Bertolf cum Barba in the Tabula consanguinitatis is thought to be a member of the Nellenburg family, I think based on Berhold I's connection to that family, which would preclude the daughter of Lantold being his mother?
I'll try to do some more research over the next few days.