They must admit their products are insufficient pretty often (just from recent OS releases):
* Twitter integration
* Yelp and Wolfram Alpha to provide responses for Siri
* Gmail/Yahoo Mail/Exchange email & calendar integration in iOS and Mac OS X
* Google/Bing/Yahoo as integrated search engines in Safari
Fact is that Apple prefers to do things in-house where possible, but if they see it in their interests to integrate something else, they will. Pride (or hubris) has nothing to do with it.