I Won't Split the Tip 50/50 When My Date Ordered Twice as Much

On a third date with Casey, we went to a nice restaurant. I ordered a pasta ($22) and water. Casey ordered a steak ($45), two cocktails ($30 total), and dessert ($14). When the bill came ($140 with tax), Casey said "let's just split it." That's $70 each when my meal was $22. I suggested we each pay for what we ordered. Casey got quiet and said "that's not how you do a dinner date" and that it felt "transactional." I ended up paying the full bill to avoid an awkward scene, but I was annoyed. Casey texted later saying they had a great time and want to go out again. I said I'd like to take turns picking the restaurant. Casey said that sounded like I was "keeping score." I'm not cheap — I just don't think I should subsidize someone's surf and turf.