As of SQL Server 2019 CU8, we now support the use of Availability Group Listeners based on Distributed Network Names (DNN Listeners).
DNN listeners are especially useful in Azure VM environment...
Updated May 25, 2021
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Released: Support for Distributed Network Names (DNN) Listeners for Always On Availability Groups
The feature is GA now. (as of SQL2019 CU8 for availability Groups, CU2 for Failover Cluster Instances).
DNN is only involved in establishing the connection, so there is no difference at all once the connection is established.
My understanding is that failover times will be slightly better, and there should be a very small delta in connection times, mostly due to less network hops through the Load Balancer.