It could reach $1,000 if BNB's performance continues as it is currently running. For me, reaching $1,000 is just a matter of time because BNB is currently the most sought after coin by investors and other parties.
I don't think the value of BNB will go down and Binance's profits won't be split with BNB even if Binance goes public.
BNB is a coin that is always guarded by Binance so that even if there is a decline in price due to the influence of market conditions, BNB will still be targeted by many people and will experience a faster recovery in the market.