I was going to respond in detail but instead I want to clarify an important point. Elite status is either official or a matter of reputation (which I hadn't included earlier, but hey, I'm a generous guy

). With offical status the matter is closed. That's how it is. With reputation it largely depends on perspective and whilst a particular formation might seem elite to you on that basis, that cannot be said for everyone.
To expand on what I said earlier, it's become standard practice in our modern world to dilute distinction. Thus we see footballers called 'Hero's' on a regular basis, which seems to me a bit odd since they don't generally risk death so that another team member may score a goal. The same sort of thing happens concerning military matters as well. These days any unit with some specialisation or difference quickly assumes elite status in someone's eyes. The important point is that those with a record of excellence, or achievement in battle, tend to be those with more credibility.
No with regard to the 95th, the issue here is indeed credibility, since you tell us that they were elite in your opinion (not meaning to be arrogant, it's just you didn't include any other evidence). The impression I get of the 95th is that they were a right bunch of pirates.
There is of course an anecdote that men of the 95th gave a joint of ham to the Portuguese, who were starving and had eaten a dog belonging to one of the regiment. The ham was in fact sliced from the buttock of a dead french soldier.
Now it's easy to use anecdotes like this - I have to be sincere and say the behaviour of line infrantrymen probably wasn't much better - but then, where are the similar anecdotes about them?
What perhaps is more significant is the strangely egalitarian nature of command within the 95th. An officer and Chosen Man? How Roman... But the point is that leadership is not about chain of command, rather a more direct style. You might argue that the nature of the Rifle Corps and their tactical deployment made that necessary, but to me that only confirms the lack of elitism and the need for a more basic set-up which the recruitment poster alludes to indirectly.
As a matter of analogy you mentioned various formations in use over the last century or so. In that same vein I would point out that many irregular units did not have anything like elite status - it's that esprit de corps within the unit that gives them a reputation besides effectiveness.