There are exceptions. One of the most romantic male singers I know of has a fairly high-pitched tenor voice: https://youtu.be/BHrgsak_uV4

The same is true of Ney Matogrosso (who often sings in drag): https://youtu.be/eR7gUtW21LU

Neither, in my view, sounds girly. (And I get your point that "girly" is not a put-down.) But I have to say I'm not a big fan of Bieber et al.