I have seen many exchanges have launched their own token like Binance with BNB, Idex with IDEX, Hotbit with HTB, Yobit with YO etc. where exchanges use their own tokens as another way to pay fees to support token. In addition to it, different strategies are used to create a hype like decrease in supply etc.
But if an exchange goes through a hard period of time and shuts downs then ultimately that token will come to its end because there is no community other than that exchange supporting the token simply because it has no usage outside the exchange.
According to me exchanges should promote the usage of their coins/tokens outside the exchange to build a community in support of it. If your community consists of huge individual entities who believe you then a great community can be formed. Otherwise lack of applications would lead these things to disaster.
I remember a new exchange launched back in 2018 i guess with name cobinhood and tokens called cob, the project, the platform and interface all looked promising and they claimed to be the only 0 cost trading platform. Everything was going on nicely but sudeenly it crashed and most probably there was some personal clashes among team members behind the scenes that resulted in closure of exchange i had over 10k COB tokens that are worthless now.