Re: Security vs. convenience
The reason such chips haven't been developed...
No, such chips have been developed, and are commercially available. I work with a number of processors that will happily brick themselves, very nearly on the old "BBIL" (branch on burnt-out indicator light) instruction. One chip I work with has counters, which will cause the device to brick when they hit zero. It also has an array of "fuses" which, you guessed it, when they're all "burned" will cause the device to brick. And of course it's deliberately horribly sensitive to all sorts of environmental fluctuations.
And the chip costs 23 cents in quantities of 1,000.
You are right that the executives wouldn't go for it. I know: on occasion I had to support the sales VP, who just "couldn't" allow a reboot on his machine because the spreadsheet would close. Um, yeah.