... I'd like to be clear here, the Sentry and Reed indulging in pure speculation is enough for you to say you get to completely ignore the cube performance, but Wolverine noting that the Hulk took a dive to unite the warring tribes is something you feel you can completely leave out as far as details.
Beyond that, the entire point of that period, again such that even outside observers are noting it, is that the Bannerless reality nexus Hulk is getting stronger, but it is also screwing him up to do so. It is part of the entire reason Apocalypse can turn him into War Hulk, part of why War Hulk was so potent, and why Apocalypse even wanted to bother doing so.
http://postimg.org/image/hto6flsvp/
People who have regular experience, you know, fighting the guy a lot, noticing that about him.
He falls over and the end and goes into a prolonged unconsciousness because his powers are killing him and giving him moments where he is physically vulnerable. The Hulk will go on at various points during this period about feeling stronger than before, yet all kinds of things hurt him more. He still busts out things like completely manhandling Atlas of the Thunderbolts, what have you.
http://postimg.org/image/5xx4gjz47/
No, in the issue after that Wolverine took him to the X-mansion, where he woke up and had an abortive fight with the X-men, was then kidnapped by Apocalypse and made into War.Hulk literally died shortly after .
Just in case you want to go "Wolverine's talking out his ass!"
http://postimg.org/image/6129n7hyr/
There are various others that observed that there is now energy charging the Hulk up across various comics through this particular period.
http://postimg.org/image/f5uv7rex9/
Now, with all that said, honestly the Hulk didn't really do anything strength wise particularly beyond the sort of stuff the Hulk has generally busted out (until the War Hulk thing, it was otherwise one of those "Silver Surfer has been powered up!" power ups). But he certainly still had his strength and various showings of, so the whole "the Hulk was dying, therefore we can discount this", doesn't fly. It was mostly that his durability was randomly crapping out on him and he was prone to collapsing.