Their "truth" is a little sketchy. Their argument is essentially "you can't trust us to protect this software if we make it, and if we failed to keep it out of criminals hands you could be harmed by it". Phrased that way it doesn't really sound all that great.
That is FBI director Comey's statement, not Apple's. Comey says,
Apple is highly professional in protecting its own innovation, its own information [1]
Comey even articulates Apple's position clearly,
Apple's argument, I think will be, that's not reasonable because there are risks around that. Even though we're good at this, it could still get away from us. And the judge will have to figure that out [1]
So Comey claims Apple is very good at technical stuff and so they must have a way to keep this software secure. Yet at the same time he claims we should not believe Apple when Apple says this backdoor would weaken everyone's security. On one hand he is saying we should believe in Apple's technology expertise, and on the other hand he is saying we should not. Well, given that Comey is self-admittedly not knowledgeable about technology, and given that many other tech companies and independent tech experts have stood up to support Apple, it's clear to me who to trust on this issue about tech security.
Apple has demonstrated their commitment to safety by improving the iPhone's security with successive iterations of software and hardware. The FBI has demonstrated their deep desire to gain guaranteed backdoor entry to devices for over a year, yet claim this case is only about one phone. Apple's track record and rhetoric are much more consistent and trustworthy than the FBI's.