You are still not making any sense.
... is a standard 37-3742 pictured from above;
... is a standard 37-3742 pictured from the side;
... afaict, the two images in your post #4 are of exactly the same part, just the images have been taken from different angles.
You are definitely confused:-
. the only place the text editor can find the word "design" is in something you have written;
. otoh, the editor finds the word "New" at the beginning of the text from the CBS you have quoted;
. i.e.
CBS is not saying it is "new design", it is simply new stock newly-arrived at CBS's premises;
. i.e. what CBS is advertising is a new stock of chain adjusters as fitted as standard by both Triumph and BSA between from the '71 to the '79 model years inclusive (in fact, they were fitted only to the OIF and T160; '71-'74 T150's and T100's continued with the more substantial chain adjusters that had also been fitted to pre-OIF 650's).
The image of "The type that is on my bike (which is the original part)" shows a nut - usually spot-welded to the chain adjuster - at the 'closed' end of the chain adjuster. A bolt and another nut (
'79 parts book, "REAR WHEEL" pages, parts #17 and #18) screw through the spot-welded nut.
When the threaded end of the bolt contacts the end of the
swinging arm, if the bolt is turned clockwise, the chain adjuster will pull the wheel spindle rearward, to increase chain (normally, belt on your bike) tension and/or align the rear wheel with the front wheel. If rear wheel alignment or chain/belt tension requires the spindle to be moved forward in the swinging arm, the bolt in the chain adjuster must be turned anti-clockwise and, separately, the spindle pushed forward until the end of the bolt through the adjuster contacts the swinging arm again.
When the chain/belt is tensioned correctly and the rear wheel is aligned with the front wheel, the bolts through the chain adjusters can be secured in position by tightening the the loose nut on each bolt against the chain adjuster.
Afaict, the CBS chain adjuster - being exactly the same - is used in exactly the same way; the spot-welded nut in CBS's image is not visible directly; however, the nut's shadow can be seen if the image is enlarged.
If you are still unclear, why not 'phone or e-mail CBS?