Remove the Salutations
Retina, 68% 72.8% (old) 74.8% 77.5% (new test battery)

i`^h(a[iy]|eya?|i(h?i|ya|)|ello)[ ,]+

T`l`L`^.


Try it online! Edit: Gained 4.8% (old) 2.7% (new) coverage with help from @MartinEnder's tips.