Hello Aleksey and Sonal,
You underlined that SAP had mentioned that 5 AN* asset tables will not get updated. Is there any documentation or link about this notification by SAP ?
My system is also SFIN 2.0 and all those 5 asset tables have FAAV* ones as physical tables when i check from SE11.
Also all those asset tables are updated ( actually views ) exactly same with FAAV* ones.
Sonal, at this point, maybe there might be a issue in SFIN migration customizing steps, you can check sfin migration status check steps in SPRO.