From RFC 5245,
A lite implementation doesn't gather candidates; it includes only host candidates for any media stream. Which is useful only when connected to public IP address.
When call is setup between two lite endpoints, there won't be any connectivity checks between local and remote. But when call setup involves chrome and chrome has full implementation, chrome end point will assume CONTROLLING role and it initiates connectivity checks with the lite peer. Lite peer has to respond to stun binding request messages. ice-lite supports doesn't mean that it should behave like ice-lite client, but it should interop with ice-lite client.
FYI, chrome doesn't support ice-lite at this point, but we are planning to support.