While admittedly not having sufficient expertise on the matter, I do see some serious vulnerabilities for Tesla, mostly on the general perception / 'brand image' side of things.
1. The fact the driver can browse during driving.
2. The calling to question of lithium – ion battery technology for other companies, i.e. BYD cars catching fire, Boeing's dreamliner. This could affect the perception of li-ion as inherently unsafe.
3. The overall new and unfamiliar technology of Tesla, particularly reflecting past experience of Toyota with safety concerns (it was later found in 2011 by NASA that Toyota had no electrical problems, it was of course too late at that point).
I do see things that were done that minimize such vulnerabilities. For example, offering Boeing help
with their battery problems was a very smart thing to do.
With the issue of browsing, I think even offering an app that limits the browsing functionality when the car is on the move...
Overall, I do not notice a concerted effort to minimize such vulnerabilities, and would suggest perhaps there should be.