Well, actually, I don't let Apple have access to my personal data, but all the ones from the article picture don't care who has access to their personal data. So, what are they rallying for, if they don't have a single file nor mail message on their own storage?
Let me explain. You trust your bank with your money. You trust Paypal with your money. You trust any site you sign up to with your personal information. You trust Amazon with your Credit Card details. You trust a doctor with your personal health details. You trust a corner shop with your credit card. You trust your locksmith with your house keys.
There is an element of trust in everything, and those are people/services you have chosen yourself to trust with your stuff. I do not expect anyone else to be able to delve their greasy little fingers in to the files of any of the above without my express permission - and this is what the US Government is trying to do, and I do not trust ALL FUTURE GOVERNMENTS (because that's who will have access to it if all goes well, if the tool is leaked then that's even worse..) with my data.
That aside - Apple have expressly and specifically said they do not delve into our personal data for whatever reason. Of course there is an element of trust there, but I have no reason to not believe them.