Having just listened to it, sorry, can't agree with many in this thread.
The lower range is great, but he screeches parts in the song that I think he sings far better now. His falsetto is outstanding, but it's a studio performance. In concert - even back then - Bono couldn't always hit those falsettos. So while this is an overall good vocal performance, I think he's done better - namely "Pride", "One Tree Hill", and "Hawkmoon 269" (if one is trying to pick songs from that general era).
As for the b-side "Unchained Melody"... my overall view has softened over time and I appreciate U2 taking a different spin on the song. However, when I first heard it, I felt they ruined one of the most beautiful romantic songs ever made. Bono's screeching destroyed all romanticism. However, two cover versions I adore from the R&H era are "Everlasting Love" and "Dancing Barefoot".
Another cover that I think really showcases Bono's vocals is "Night & Day". This song is arguably from R&H era (even if recorded in late 1989 or early 1990). Bono showcases the full range discussed above for "Heartland", but with more power. His screaming is appropriate and the music is haunting. U2's performance of this song as a psychocit stalking his/her love is powerful dark interpretation that esquisitely contrasts all of the showtune style performances made famous by Billy Holiday and Frank Sinatra. So my vote goes to this song.
Yes the song is beautiful and so was his voice. Now all he can do is screech, whine or chant in a nasal tone forced out between his teeth like an annoying whistle.
I have to agree with BVS.
NLOTH has Bono's best vocals since AB and having seen him four times in concert on this tour, I can assure you there is no screeching or nasal sounds. In fact, having heard him perform WOWY on this tour proved to me his range has really recovered. While I felt that song suffered in the last 3 tours (including PopMart), I felt it's being restored slowly to its full glory.