The Clan enclave system of the homeworlds meant that almost no worlds were truly self-sufficient. Some were geared toward manufacturing, others were geared toward generating food. Most Clans were surviving on a month-to-month basis in terms of figuring our their needs and moving resources to each of their respective enclaves. The WoR book covers this reality very well. In turn in that era we see, beyond what the Clan(s) leadership are doing, a lot of enclaves just starved and died with the Clan leadership having no idea what became of them until someone finally arrived in a jumpship to have a look. In many other cases local leaders and warriors took matters into their own hands, resulting in a lot of little crisis and brush fire conflicts as the local leaders, such as the highest-ranking warrior on-world, just started making independent decisions to try to help their enclave(s) survive.
If the physical infrastructure of the enclave system is unchanged, that would be the background reality of any mass HPG disruption. Regardless of who is running the show and what civilization even looks like now in the Clan Homeworlds, that would be the geographic reality. Unless they ripped everything up and redid the layout of all the infrastructure. Rather than just building on top of what's already there and changing the flags.
I think that's probably true whether it's a linear progression of the Homeworld Clans we know of. Or whether that civilization has completely transformed into some new human civilization that doesn't resemble the Clans at all.
Even if the Homeworld Clans (or whatever society followed them) learned their lesson and did a better job of stockpiling supplies (getting away from the month-to-month living). Any mass HPG disruption could still be disruptive for just so long that their stockpiles could have been depleted, and they eventually arrive at the same place in terms of problems. With things only stabilizing once courier jumpships and trade/transport had been reconnected in an effective way.
But as others have pointed out. We just don't know the reality of the Homeworlds. The Scorpion Empire's HPG situation may be a strong clue that they were not impacted. But it wouldn't be that difficult for the writers to justify a reality where some hidden HPG link between one of the Inner Sphere Clans and one of the Homeworlds, was kept intact all this time in secret and a seemingly unlikely scenario played out where the Scorpions got through it ok, but the Blackout got to the Clan Homeworlds via somebody's secret telephone.
All this will be up to the writers, and with such an information void to work with (spanning so much In-Universe Time), they can do a lot of things that would seem unlikely/improbable/shocking to us.
Personally, I don't think they'd bring the blackout to the homeworlds. But for a reason that may surprise you. I think Battletech fans are kinda tired of the whole blackout dynamic. That was something implemented... a while back now, with the full effects of it having kinda played out. It feels like it has run its course as a story arc in the universe.
I think it's actually very telling that the Scorpions seem to be ok. It's like the writers' mindset on this might be not to perpetuate this tired blackout thing any further if they don't have to. It's possible that it's begun to really just feel like a relic of the Dark Age era, which they have been eager to move forward and away from into a new era. Only holding onto the pieces of the Dark Age that they aren't able to drop due to story continuity.
That is just, let's call it intuition, from a long-time player who understands that writers like to drop past story baggage, if they feel like the fans aren't that into it anymore. We may have gotten to that point with the blackout stuff. If we aren't there now, I feel like we're headed there.