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.”