My objection is not limited to gas giant hopping. That, combined with the fact that there are a very modest number of systems in a typical CT subsector, makes exploration-type campaigns implausible IMHO. With only 16-20 systems, a typical subsector could be easily explored and mapped within a few years. It's hard for me to imagine how *any* subsector could remain isolated and mostly unexplored for very long in CT (especially if you allow jumps into and out of empty hexes).
There's a fundamental problem with your trying to reduce that problem by making the jump drives jump farther.
The only way to "slow down discovery" is to simply increase the number of systems and/or INCREASE the travel time. Speeding up jumps doesn't help that problem. Speeding up jumps just changes the scale of the map. There's no difference between a Subsector map of 1 parsec per hex and map with 10 parsecs per hex, even if there are more stars in a hex. If I have a "10 times as far/faster" jump drive, then the 10 parsec/hex map, in terms of travel, is identical to the 1 parsec per hex map, particularly if you argue that it's a "jump map" with each hex showing Jump numbers needed to get there.
Also, consider, there's nothing to actually LOOK for, it's more just a matter of GOING. With jump drives we can explore the nearby star systems faster than we can explore the darkest parts of the Amazon basin, simply because it's easier to get to a star than the deep Jungle.
Need somewhere to go? Look in the sky, find a light, point the ship and GO. Now, finding something with NO star is completely different. That's in the deepest darkest space with problems of detection (if you could detect it, you'd just go).
Let's take a simple example. The Near Star list from 2300AD has something like 630 stars in it. All within 50ly, or 15-16 parsecs from Earth. Now on the crass assumption that you could get to any star in a week, you could easily crunch a "traveling salesman" routine to minimize the route traveled. In the best of circumstances, you could hit a star a week. Spend a week taking quick sensor readings, and moving on. 2 Weeks per star. 1260 Weeks. 24+ years for a single ship. 10 ships, 2.5 years. 100 ships? 3 months.
Any society with the scale and scope of the Imperium is going to be mapped pretty fast, at least by SOMEONE. I mean, how many Scout Ships does the IISS have deployed anyway? Likely enough that they can hit every backwater system once every year or two years if they had the mind to. The rest they don't need to, as tramp freighters and X-Boats carry the news.
Now, if you look at something like what happened with TNE after the Collapse, you can see how the party gets restarted. The problem there is simply that they don't HAVE a lot of ships anymore, and the lines of communications went dark with these planets in The Wilds. We know where to go, we know how to get there, we even know what used to be, but we haven't the resources to send a new crew over and get an update or to make contact.
But, give them 10-20 years. Get the shipyards fired up again and some resources flowing, and the ships will start exploring again. Within 50 years, it will all be mapped out again with reasonably recent maps. But that's only because they're boostrapping the whole thing again as part of the recovery and are shore of resources.
I mean, heck, that's why WE, planet Earth haven't mapped the nearby stars -- we simply can't get there yet. Instead we point Hubble at them, one by one, to find the Interesting ones.
So, if you want a borderland, undiscovered area in your campaign, there needs to be a reason why folks aren't or can't go there, or haven't been there yet. I don't think scaling the jump drives really solves that problem.
Perhaps the IISS has given up, they no longer patrol other systems any more. Or they do, but they keep all of their findings secret. But it's too expensive for a private firm to do that themselves without a guaranteed payday at the end of the flight.
If you've ever played one of the 4X Galaxy Building games (Reach for the Stars, Masters of Orion, etc.), you know how slow the start of exploration begins, but also how fast it finishes when industry comes on line.
So, there needs to be a limitation that keeps the folks from doing that kind of exploration. Which is difficult with "cheap" space flight.