Well yes you would record in 1080 but you would want to us pA mode. 24p Advaced put the pull down flags on the recorded footage so you can get the real 24 fram recording. But I do belive the HVX just recoards it as 24 and there is no pull down to worry about. What will happen is that the footage of stuff you shot is your offline. You will do your edit and your sound work and then you will export it to HDCAM or what ever format your lab likes. Then they will up rez it to 2K you will do your color corection and tittles and final effects. They they will print it out for your negitives.
at 1080 the hvx does not record 24 frames natively. It embeds it in a 60i stream using pulldown. 24p is 2:3 pulldown and 24 p advanced is 2:3:3:2 pulldown.
Normal gives a close approximation of 24 frames per second. But with advanced you can get the exact 24 frames EXACTLY without any approximation.
tradeoff is normal looks better at 60i - so if you know you are going to film or 24p dvd you should use advanced