I am afraid that there will be an option to withdraw wrapped tokens on the Lightning Network, that they obtain bitcoins from customers and sell them fake tokens that have no guaranteed value, and just because its value is equal to 1 bitcoin, this does not mean that it has value.
Wrapped token on lightning network? It is not a matter of guessing, it is not possible.
If other exchanges follow Binance to integrate lightning network payment for bitcoin transaction, more people will use lightning network.
There's already quite a few exchanges that integrated lightning network like Kraken, Bitfinex, Bithumb, Bitstamp, OkeX, Bitmex etc (you can gind full list
here so Binance is not really leader in that regard.
With that being said, Binance has by far the most users so them implemeting LN will have more effect than the others. Another big exchanges that sort of announced that they plan to implement LN (their CEO mentioned it few months ago) but unfortunately no news regarding that.
We have talked about this in some threads in the past, you can check a topic I posted long time ago about exchanges that are supporting lightning network for people to take advantage of low fee lightning network on such exchangs:
Using lightning for bitcoin low fee on exchangesAlso another is the lists on this thread:
Congested mempool & LNBut just that to every wallet and exchange that is supporting lightning network for bitcoin payment, lightning network usage will increase. And as you said, Binance is not a small exchange, it is the biggest exchange in the world and which will help in lightning network usage.