I don’t think it’ll be much like the show at all, to be honest. The circumstances are already radically different. In the show, Tyrion met Dany while the latter was still ensconced as Meereen’s ruler; in the books, she’ll already have had her sojourn with the Dothraki when they first meet. This in turn will change Dany’s mindset during that first encounter. She won’t be the uncertain queen caught between the needs of her people, the grind of politics, the threat of war, and her own personal desires. She’ll be an active conqueror, the Stallion Who Mounts the World, having embraced “fire and blood” at the end of ADWD.
And book!Tyrion in no way resembles the increasingly stale quip machine of the show. Book!Tyrion is, well…“and the man breaks.” He really hasn’t worked through his demons; it’s true (and great!) that he no longer wants to kill himself, but what he’s choosing to live for is to unleash the Second Sons (who else?) on Casterly Rock to spite Dad’s shade. Moreover, his attitude towards Penny fully showcases the extent of his depression and how it’s affecting his relationship to the outside world. Instead of slowly imploding as he threatened to do at the beginning of ADWD, he’s decided to put his energies toward fulfilling the wish he made at his trial in ASOS: let me be the monster they think I am.
All of which is to say that while I get the emotional appeal and structural logic of Dany and Tyrion helping each other, in their first meeting, achieve clarity and acceptance and a sense of purpose leading up to endgame…it really doesn’t seem like GRRM’s writingthem that way, at least not right now. It looks more to me like they’re poised to encourage each other’s worst instincts, especially when it comes to the “mummer’s dragon.” Not for nothing does GRRM appear to be arranging things so that Tyrion’s the one to inform Dany about Aegon.