Fortune's Past

Unfortunately, the synergy started and ended there. None of the later Fortune Ladies activate upon leaving the field or being banished. Fortune Lady Wind actively conflicts with Future Visions and Light due to requiring a Normal Summon and counting Ladies you control, while Fortune Lady Water is a bad card to summon from Light because it won't activate with only Light banished. The only other Fortune Lady card that had anything to do with banishing was Fortune's Future, which conversely is inconsistent because it has no other setup and so requires wasting your Normal Summon to use Future Visions.

In terms of mechanical identity, Fortune Ladies had one clear cohesive theme - level manipulation. Every monster in the archetype has the same effects to level up each turn and gain ATK as a result, and their other cards like Solitaire Magician and Time Passage juggle their levels too. A minor attempt at playing with banishing didn't succeed.
Fortune's Future

Now, this is where things get interesting. Looking solely at the cards, we come back to their mechanical identity, rooted in levels. One might expect modern support to relate to this. May help speed up gaining levels and provide rewards for doing so like the F.A. archetype. The trick is, Yugioh's legacy support design is rooted heavily in nostalgia. For a deck like Fortune Ladies, that nostalgia doesn't come from how it plays; a lot of people will have never played a deck widely considered to be quite bad. Instead, it comes from the anime, and in the anime Carly Carmine played Future Visions.

The result is that a modern Fortune Lady deck has had its mechanical identity completely overhauled. With the game being too slow to wait for the old level manipulation effects, Fortune Lady Past takes on that duty alone and the entire rest of the deck is all about banishing. This invigoration of the deck's strategy wouldn't have been possible without the inspiration of the anime and Future Visions.
Conclusions
Yugioh's style of legacy support for old deck themes relies heavily on nostalgia. Because of its tie-in anime, that nostalgia is often unrelated to how a deck plays. As a result, anime-based legacy support can often reinvent a deck's mechanical identity. Red-Eyes starts equipping cards because Joey played Warriors. Ojamas start supporting Machines because Chazz is a glorious mess. With Fortune Ladies, that anime-inspired new mechanical identity is exactly what they needed to find modern playability.
For a single card that didn't help the deck much originally, the effect Future Visions had on the deck's design is staggering. Fortune Ladies have found a new home in the banished pile, and a level of playability they never dreamed of - even if it's still only very casual. ...and even if the deck still doesn't play Future Visions.