If they really had no access, then their server cannot do any "analysis" beyond storing it, and the app could as well just store it locally, or with Amazon S3 or whatever storage system the website already uses.
Obviously not everything is encrypted, or otherwise they don't realize that there is no reason for them to provide a simple storage service, considering most websites already have some way to store data.
"to log and send data to Takipi's analysis servers" ???!!!
Is this for real?
I'm surely going to send all my private code, data and who knows what else to your servers! I have been waiting for this since forever, and I'm glad to have this opportunity now!
And... it slows everything by 5% constantly?!? To basically take a core dump for later analysis? (in case it's not obvious, such a thing should have no overhead whatsoever when fatal exceptions are not thrown)