I watch TYT all the time, but this story seems really dodgey.
All that it found is that it didn't find "abortion clinic", but they try to use the fact that it can find 'Pregnancy Crisis Centre' as some kind of proof that Apple is furthering conservative agenda. That is one hell of a leap.
It did find 'Planned Parenthood' which is apparently 'what it is listed as in the phonebook'. So obviously Apple is not categorically denying searches.
The logical assumption would be that the method they use for searching merely doesn't recognise the term 'abortion clinic' - especially since it finds 'Planned Parenthood'.
I doubt there is anything sinister at work.