Within the limited scope of a discussion of head-to-head recruiting there are some similarities.

Did Lake unofficially visit Utah? Yes.
Did Brown unofficially visit BYU? Yes.

Did Lake meet with at least one coach from Utah? Yes, Morgan Scalley.
Did Brown meet with at least one coach from BYU? Yes, Geoff Martzen.

Did any outlet report Lake receiving a Utah offer? No.
Did any outlet report Brown receiving a BYU offer? No.

Should a prospective Lake commitment to BYU count as a head-to-head win? No.

Should Brown's commitment to Utah count as a head-to-head win? No.