A head­er that should be hy­phen­at­ed. “Quotes.”

Page title should not be hyphenated. “But quotes yes.”

Page con­tent should be hy­phen­at­ed. But "code" should not be hyphenated.

Neither preformatted text. "No quotes for you."
Nest­ed con­tent should be hy­phen­at­ed al­so! And al­so bold sec­tions or ital­ics text. Oh and “quotes should be smart” — with prop­er em-dash, 8–22 (en-dash) and el­lip­sis…

Link ti­tles can be hy­phen­at­ed as well. But in­line ver­ba­tim stuff shouldn’t: hello "this" is not hyphenated. Nei­ther ver­ba­tim blocks:

"quote" hyphenation

Od­sta­vec v češ­ti­ně. „Uvo­zov­ky“ fun­gu­jí ji­nak a dě­le­ní slov jakbys­met.

The foot­er should be hy­phen­at­ed as well. “Quotes.”