Well, the differences do not matter FOR THE MOST PART in the practical order.
Now, with regard to R&R (of the traditional variety), however, they consider themselves bound to submit to and obey any orthodox teachings and legitimate commands of the Pope and the hierarchy. Consequently, they are supposed to be in the business of ascertaining what these things are. Most, however, do no such thing and, for all intents and purposes, simply ignore the current hierarchy.
We have no other choice in the matter other than to simply ignore the hierarchy's heretical teachings - the hierarchy themselves are responsible for that, they are the ones that saw to it that that's the rule, we played no active part in that decision, that decision was entirely their own. There is a line in the sand that we did not put there, but it's there and we may not cross over it.
To say we are supposed to be in the business of ascertaining what is truth and sin and what is not, as if we are incapable to discern as much, or as if this has never been our responsibility, is the same liberal thinking that helped assist the masses into abandoning the true faith for the new faith in the first place.
Fr. Wathen explains it this way:
"....What I find most intriguing about the heresy of our modern day my dear people, is that there is the consistent confusion between truth or doctrine, and the requirement of authority. If that sounds obscure let me make it more clear.
Most people in the church today do not care that they are heretics. In fact if you point out certain idea to them as being heretical, they consider the whole thing irrelevant to such an extent that they can hardly be bothered with it. And if you point out, for instance, certain expressions in people's utterances or in Catholic, i.e. so called Catholic papers and books which are diametrically opposed to Catholic Doctrine and to traditional Catholic belief and practice, again they’re totally unimpressed, simply because they say;
“Well, the only thing we have to worry about, is doing what the priests and bishops and the pope tell us”.See what I mean? They are invoking authority to get by and to avoid the whole issue of their personal belief.
This is why most people are now in heresy within the Church, not because they want to believe error, many of them really want to know the truth. I shouldn’t say that word 'really', what they *really* want is what they’ve got, that’s why they have it, that’s why they’ve chosen it, that’s why they fight for it, and its why they continue to absorb it, they cling to it and they love it. So I should not say that word 'really', but let us say that many people in the Church 'aspire', at least faintly to the truth - not so strongly, not so adamantly or tenaciously that they’d suffer for it, not so that they would fall out with their relatives and their friends on account of it, no so really that they would become such oddities as we have become for the sake of it, but they do hope that they can retain orthodoxy, at least within the pale of the Church, the problem is it is so much easier to follow the wolves in sheep’s clothing....."
Yet there are monumental theological consequences of the different positions that cannot be ignored. R&R posit that the Magisterium Hierarchy and Unviersal Discipline of the Church can become so corrupt as to endanger the faith of any who submit to these things, and that individuals are empowered to decide what's what, what to accept and what to reject. SVs, on the other hand, posit that individuals are empowered to make a determination of papal legitimacy based on their own private judgment. Both these are incredibly grave errors that undermine the Catholic Magisterium. That's really the battle taking place here.
The reason R&R posit such things is because the fact is indisputable that the majority of the hierarchy and the hierarchy's universal discipline have become corrupt, it is indisputable because it is the truth, it is what happened, whats more, it is still happening, that's simply the way it is. It is an historic reality and it is a present reality that the hierarchy and their universal discipline have become so corrupt, that it does not merely endanger the faith of those who submit to them as you suggest, rather, it is a sacrilege to submit to the modernist teachings and universal discipline of today's hierarchy.