What's inside the tip though? For a full-diameter third stage (i.e. either a short full-diameter motor topped by a "crown" of warheads as on M45 or a reduced-diameter motor surrounded by a ring of RVs to fill the entire diameter like Trident) the parade configuration seems to be missing one separation joint. OTOH it matches the R-39 with its blunt-tipped ARSS pretty well:
I don't know what's inside the tip. Does anyone? For example, how credible is that drawing of JL-2 without the shroud/tip you found? If we can prove it comes from a good source, then that shines a lot of light on JL-2 design. But without that... how can we be sure it looks like that?
Polaris did have such a tip in its single warhead variants. But initial R-29 didn't.
Another question. Why does JL-2 even use a shroud/cover? Polaris A1/2 doesn't seem to have used it.
Anyway, if some of the drawings you provided are a clos match for JL-2 container, then JL-2 could perhaps be closer to 12 m long, rather than 11. Which might mean, depending on tech level, that its range is even longer than I thought.
What's definitely possible, even likely, is that we'll see a JL-2 variant that will, of course, be made to fit inside unmodified hull 094 but will have a third stage/larger rocket motor/more fuel.
And in theory it is possible that such a variant is already in testing. So perhaps that was what the rumor was refering too, but someone erroneously labeled it as JL-3.
Certainly there's need for a larger missile body than JL-2 offers, and certainly the fact we saw that Qing testbed submarine get modified to house longer missiles is indicative of that.
At the same time, that doesn't mean that JL-2 body already used up all its potential, as tech always goes on, so it's plausible more performance can be squeezed out of it with a new variant.