Apparently Nimoy was furious about that. He didn't want any references to it so audiences would be appropriately shocked and surprised, but the studio thought it would boost box office.
It didn't boost it beyond TWOK's or TMP's. Surprisingly few directors are allowed trailer control, with the major exception of Stanley Kubrick. I prefer going in cold. I haven't truly done it since 1989.
The TNG potrayal of Lwaxanna being interested in Picard as some kind of cougar on the prowl joke is so sexist since they had no qualms hooking Picard with much younger than himself lady in the same episode. Jennifer Hetrick is 18 years younger than Stewart.
Stewart's MAKE IT SO autobio discusses their continued (albeit brief) relationship outside of the series.
Of course the movie also does a good job of making everyone in Starfleet who is not or does not work for James T. Kirk into blithering morons. Who would want to be in that crazy service?
You've saved the universe again, Kirky. Let's return the favor by breaking you all up and totally retire the A.