Ben
I can't say we have proven Samuel as belonging to this group..but by process of elimination it seems likely.
Gabriel and his branch are certainly the first and earliest to come, and the tesmoignages now looking at them show this was clearly from the Paris region.
The next Aubers came from the Bolbec region of Pays De Caux, Normandy (Montvilliers, Criquetot, Fecamp etc) in summer 1687. Philemon Auber and his wife Elizabeth Maret, with their son Daniel, and his brother Jean Auber and his wife Susanne Le Moisse with their sons Jean and Pierre. Pierre married Elizabeth Louvet at Threadneedle Street Oct 1689, and Jean (jr) his brother married Rachel Hue May 1690 at Threadneedle Street. Daniel Married Susanne De la Mare around 1712.
Pierre became a succesful master silk weaver in Norton Folgate. His son, Pierre b.1691, married his dads cousin daniel's sister Marie De La Mare, and his sons and grandsons carried on the weaving business, for the best part of the next century in Spital Square.
It is worth noting the family above always spell the name Auber or Aubert. There is no a gap in their baptisms where Samuel would likely fit, and were not Anglicised, still using the French churches at the period we are looking at. In fact two of Pierre's sons Jacques and Isaac, married sisters Anne and Marie Galhie, and had their children baptised at Threadneedle Street 1755-1776. These are 100% regular recorded as 'Auber'. So it appears this familyresisted assimilation and were not using Anglican churches for a long time.
The next branch was again from Normandy, but this time Beauville, on the outskirts of Caen. A Jacob Auber, son of Jacques Auber and Magdelain Moutier, born around 1670, seems to be the originator of this branch, and had several children baptised at La Patente with his wife Elizabeth Bosquet 1702-1716. Two of his sons Daniel Abraham Auber, and Adrian Auber baptised their children there also 1727-35, so this family were also still using the French churches for their baptisms the period we are looking at. The name for them is recorded as Aube/Auber/Aubair...but never Obe or Obey or Obee.
The next branch was a Josue and Ann Auber who came from Amsterdam in 1706. They had one son also Josue baptised 1708 at Threadneedle than I lose sight of these.
A Jean/John Auber had three daughters with his wife Susan Deheulle baptised 1722-25 at Threadneedle Street. Susanne is a distant cousin of mine and from Bolbec, so he is probably a relation of the 1687 Bolbec branch. I think he is likely the son of Jean Auber and Rachel Hue.
A Louis Auber came over in 1723 from same place St Eustache, Bolbec. He was given testimony by Daniel Auber, above of the earlier 1687 Bolbec branch, so was also likely a relation of theirs. He and his wife Elizabeth Le Comte had 7 children baptised at Threadneedle Street between 1728-1748.
There are then no new Aubers coming until the later waves. A Jacques Auber, from Notre Dame Du Bec, around 1740. A Pierre Abraham Auber who cam, again from St Eustache, Bolbec in 1743, and his brother James Abraham Auber, who joined him from the same place, ten years later in 1753. They were baptising children at Threadneedle Street until the mid 1770's. Their name is almost always recorded Auber, once as Aubert.
So you see Gabriels branch are the only Aubers Angliscised at early enough time to be Samuels family, and the only one who frequently use Obey/Obe/Obee/Aube/Aubey spelling variants in both the French and English records. I do not find the 'o' variants ever attached to any of the other families, in the French sources.