[11] Editors at AllMusic rated this album 4.5 out of 5 stars, with critic Marcy Donelson writing that "while grief and heartache are constant undertones here, they are often outshone by emotions like gratitude and anticipation".

[19] At The Arts Desk, Kieron Tyler rated this release 4 out of 5 stars, writing that the album initially seems "weightless" but the lyrics show that Byrne is a "a folk-inclined singer-songwriter of rare intensity".

[22] Mojo's Andrew Male rated The Greater Wings 4 out of 5 stars, calling it a "love letter and elegy and encompasses the deeply held emotions of both".

[24] Writing for The Skinny, Jamie Pettinger gave this album 4 out of 5 stars for being "a sonically patient, cinematic and hopeful record" that "essentially grabs you and pulls you down into Byrne's slowly breathing world of all-encompassing grief".

[25] In Uncut, The Greater Wings received 4.5 out of 5 stars from Sharon O'Connell who praised Byrne's musical palette: "alongside finger-picked guitar and voice are a harp, strings, piano and analogue synths, which bear the songs aloft, despite their weighty emotions".

"The Greater Wings" "Portrait of a Clear Day" "Moonless" "Summer Glass" "Summer's End" "Lightning Comes Up from the Ground" "Flare" "Conversation Is a Flowstate" "Hope's Return" "Death Is the Diamond" Technical personnel The Greater Wings was Julie Byrne's first domestic chart appearance, debuting at 90 on Billboard's Top Current Album Sales with 1,000 downloads sold in its first week.