If you want to pursue a romance with him, you cannot not fall for his theatrics in act 1. That scene in the woods is extremely fake, but to go on with the story, your character has to enjoy the performative act. There is no way to throw a wrench in by saying something genuine that forces him to work off script. You cannot tell him that he does not have to put it on quite so thickly because you like him, or that yes, actually you would be fine with just talking. You can't act as a person in that situation might, with sincerity or gentle humour to get to a more genuine side of him, your character is just there to showcase him in a certain way. In this case as a seducer. In the issue you all are describing in act 3, it seems to be much the same, you are there to showcase something.
The romantic scene of the first act is excellent, the only problem was the change of Astarion's facial expression in the scene when he offers Tav intimacy (unhappy face) brought by one of the patches. The romantic scene itself is highly affecting and leaves a huge impression on first playthrough - the suddenness of that proposal, the charm and seductiveness of Astarion, the moment when he greedily welcomes the dawn, it's a moment that is impossible to forget. Regarding the topic of lines for a good roleplay - there are enough interesting response options for Tav in this scene. We can flirt with Astarion at the beginning ("You don't have me yet") and see a very seductive Astarion responding to that, there's the passionate option of saying nothing and kissing Astarion right away. And that doesn't make Tav a "sexual objectifier", Tav knows nothing about Astarion's trauma, Tav may think that Astarion after 200 years of slavery, on the contrary, wants now to drink all the pleasures of a free life, this is absolutely normal behavior for Tav. Then we can just relax and enjoy or playfully offer him a neck. The dialog after intimacy is also interesting and varied. Honestly, you are the first person in my memory who is not happy with this scene, but I understand that some players don't want such an early start to the romance, they want to get to know their partner better, and of course lines could have been added for this wagering as well. But this doesn't apply directly to Astarion's romance, it applies to the general idea of dynamic romances in the game, Lae'zel tries to start a romance even earlier than Astarion, and in that case, the option to just talk should be added at least to her romance scene too.
But in my opinion, fixing poorly written scenes like the one this thread is dedicated to, a scene that is disliked by a large number of players who choose this route, a scene that gives no opportunity for adequate roleplay to players, a scene that directively places a certain label on our characters, a scene that is not difficult to fix (in this thread players have cited quite a few variant lines for Tav, each of which is better than the lines the author of that scene offers us) should be a higher priority than expanding the roleplay options in a well-written scene). Although the latter is also useful and would certainly further improve the game.