Yes, the media loves to create the impression that the SSPX is divided, just like the protestant groups were (and are) divided -- because they want to cast the SSPX in the absolutely worst light possible. Everyone with a brain knows that "error is many, and truth is one" -- so if they put two and two together, they are led to believe that the SSPX is a wrong path, since it is so "incoherent and divided".
Fortunately I got an "inside" perspective, having met a huge number of English-speaking SSPX priests, and all 4 bishops (not to mention dozens of seminarians).
There are certainly differences of temperament between Bishops Fellay and Williamson. Just like St. Ignatius (an ex-soldier) was probably far more feisty than St. Francis of Assisi. That doesn't mean that either was more Catholic. Either one would have suffered martyrdom had the chance arose.
You'll notice that every time Bishop Fellay speaks, he emphasizes that he's NOT itching for an agreement at any costs, that he's willing to continue the Fight for as long as God wills, etc. I don't see much of a difference in the bishops' outlook on the Crisis. Of course, this or that bishop might be more diplomatic, or more outspoken. But that is due to personality, not personal conviction or belief.
When Rome wakes up to the evils of Modernism, and realizes that the Modern World is built on Freemasonic ideals of "liberty, equality, fraternity", and that there is NO compromise with such a Demondom (as opposed to Christendom), then the "problems" with the SSPX will dissolve into thin air.
I agree that there isn't too much reason to cheer just yet. Rome still seems to be caught in the subtle wiles of Modernism's snares. Our current Pope was raised on modernist German theologians and philosophers.
We probably shouldn't get TOO excited about this whole "universal indult" thing -- I'm sure many people will go ape-wild when it happens, but it won't change much for a LOT of Catholics. We need to remember (and keep studying) the nature of the Crisis we are in, and that it will likely continue for some time. Things will probably get worse -- MORE confusing -- before they get better, if you can believe that.
To give an example, what if the Pope allowed the Traditional Mass for all, and even REQUIRED every locale to have at least one TLM per week? Would that be good? Well, it depends on WHY he is doing it. Perhaps he is only doing it because he believes that, as Truth changes from age to age, it's possible for truth to see-saw a bit. (Purgatory exists, then purgatory doesn't exist, then LOOK AT THAT! -- Purgatory exists again!) or "The Holy Ghost wants Mass in Latin", "The Holy Ghost wants vernacular Masses", then "The Holy Ghost wants Mass in Latin again".
We can be happy that more grace will flow because of the TLM, but I don't think we can all lay down our arms just yet. After all, if the whole thing is founded on Modernist ideas, then next year the Pope (or perhaps his successor?) will flip-flop back to the Novus Ordo Mass. Ideas ARE important. Ideas are more important than actions -- they lead to actions.
(Just like if I were a dictator, I'd rather have my subjects watching TV -- where I can powerfully influence their thinking -- than to have them all in chains.)
If Truth can change, then it can change to ANYTHING, right? Even things that have been true at one time in the past.
You'd have a Pope saying "The TLM is good", but for the WRONG reason. You'd have the massive mind rot of Modernism in most cardinals and the Pope, but on the surface things would be almost "normal". What would we do then?
We're almost blessed now because things are bad on the SURFACE as well as underneath. What if the devil brings out his BIG GUNS (of confusion) and makes things even more confusing for good Catholics? We all better know how to think, and the more we know about our Faith the better.
I think we'd still have to fight modernism, even if Modernism gets more and more subtle (and hard to discern). Modernism is easy to spot when you have Biker Masses. It's less easy to understand when Modernists say the TLM.
I think that's what Bishop Williamson is trying to remind us.