I think his message
"it s one of the reasons we use a chain with self removing temporary entries for facilitating the transactions. No need for data bloat on portable devices"
contains two linked components, depending on each other:
1.) regular blockchain is gigabytes, and mobiles can't store gigabytes
2.) with a different design (by removing the necessity to store gigabytes) a DEX on mobiles is possible
Currently it is unclear, how this can be achieved. An underlying assumption seems to be, that it must work with a cryptographical setup. There are two concurrent concepts in the crypto world: blockchains and DAGs. Both (should) make sure, that a malicious actor is not "incentivized" to play foul. The blockchain or the DAG is also used to proof, that a certain transaction happened. And both require lots of data...
Comes SPV wallets or similiar: they work on mobiles as well, but they are connected to servers, that must be trusted. I can imagine, that he is working on a similiar concept for a DEX.
The idea looks very interesting, and if there is a new logic/algorythm, which avoids the usage of gigabytes, we are all highly interested.
Why don't you invite your friend to come into the forum, and spread some of his ideas with us?