For Model S/X, you need a proprietary device to connect to the car's ethernet port (it may be possible to build your own -- not sure if they are encrypted), or you need Tesla to download them and hand them over. Tesla has told me that they will only release logs when ordered to do so by a court, but that they will download and hold them locally upon an owner's request, so that if you think you will have a legal need for them you have time to make that request before they get pruned/deleted by the car.
[1] https://upload.teslamotors.com/
edit: Differentiated between Roadster and Model S/X policies.
They might not be doing that, but until and unless they make all data available every time they make any data available, it's a matter of faith.
Police say "oh, you were doing 75mph in a 50? ticket!"... insurance rate hike, etc... how much liability would they be picking up if they exposed all of that, and how quickly would people be throwing a fit about privacy?
I know multiple people (in multiple states) who have been ticketed based on their youtube videos... im sure police would try to use the logs just the same...
And now here we are. I'm not sure why you're jumping to liability questions about logs of speeding and bringing up privacy (amusing, that one, when it comes to Tesla's public descriptions of events in their cars). I think the point is clear. Tesla, either provide evidence for your claims, or stop making claims. Simple.