Yes Leon, no good pictures that we can look at to work out what is going on with the Mateos machine unfortunately.
I have not had much spare time lately but when I did have a spare moment, I found I had just enough information to take a stab at comparing the OB from 1924 and the RA24 frame designs (would be nice to compare to later RA models as well etc but this is all I have for a decent comparison at present).
I tried to draw the pictures as accurately as I could from the information I had. From what I can ascertain, from other information collated from a few sources, the essential (for the purpose of these comparisons) dimensions of the head clip, steering stem, fork shackles and forks of the OB and RA24 are more or less identical - therefore I made them the same (so comparing apples with apples). I have placed the axle of the rear wheel of each machine on the same vertical axis.
(Note - some will know there are two fork types for the OB one for solo, which is the one I used, and other one is for sidecar work which has less trail.)
In all the drawings the OB is in Blue and the RA24 in red (I hope this doesn't cause too much problem for those of us who are colour blind!). To help, I have repeated some of the drawings with the RA in front of the OB rather than the other way around so the differences may stand out better.
As the relative merits of the top tube design of each model, from an aesthetic and engineering perspective is often a topic of discussion I have removed them! :-).
I used nominal diameters for the wheel sizes - yes I know that in real life they are not exactly what is written on the sidewall, but I think it will do for this comparison. So 26"x3" for the OB and 28"x 2 1/2" for the RA28. (If anyone has better info on what was actually used in 1925-26 I can redo the drawings).
First up we have the OB on 26" wheels compared to the RA24 on 28" wheels. Much what we would expect. The OB has 27.5 degree rake and RA24 has 25.5 degree rake - quite modern and respectable for a touring and a sporting bike respectively. The OB has slightly longer wheelbase and the centre lines of the engines (indicated by the "bulls eyes" of them at their rearmost position) are very close. The RA has a sump and gearbox mounted a little lower than the OB (with its higher and larger fuel / oil tank) so I would suspect the OB has a higher centre of gravity than the RA24, but probably not much in it? The trail of the front wheel of the OB and RA are reasonably similar.