The truth is that transaction fees on BCH are really cheap, so far I have never paid more than 0.00001 bch for transactions, so I may say that we don't need LN for transactions if we only count they need for cheap transactions.
But there is one moment when BCH may need LN that is if for whatever reason you need to send or receive one satoshi, sending or receiving 0.00000001 BCH is pretty much useless on-chain at the moment, unless that satoshi represents some other value like a token or something else. But just using one satoshi with current on-chain fees and theory is just unpractical.
But in the case BCH price goes up and 1 satoshi becomes more valuable than many fiat currencies implementing a way to spend one satoshi could become a nice thing, I would say that LN on BCH will be a real play thing at first, until the value of one satoshi comes to parity to many other fiat currencies.
Becasuse BCH has at the moment 32MB blocks that will mean that opening and closing channels will be much cheaper, as such routing fees will also be very cheap, in the case of BCH LN nodes they would not have to charge large amounts for their liquirity because oepening and closing channels will be very cheap as well, in other words even LN makes more sense on BCH than on the core altcoin.
It is true that using one satoshi is only possible on LN at the moment, but other solutions may be invented to address this in the case it becomes necessary to use a single satoshi for transacting on small transactions.
You can expect the propaganda machine of core go crazy if BCH developers start to work on a LN for BCH project saying things like you see they realize they need second layer solutions, but in the case of BCH it won't be to scale BCH but to actually bring use of the smallest part on the BCH currency.
The use of one satoshi will only be need it in the case you want to represent another value, or transact on the smallest unit on BCH, and I don't know if BCH will ever implement a LN protocol at all, or if something else will be invented, but I think that eventually the one satoshi usage will come to Bitcoin Cash but don't worry that's not gonna happen any time soon, more like years if it happens at all.