iOS already does this. The device won't accept an iOS image unless it has been signed by Apple. Not only that, but iTunes now "verifies with Apple" over the Internet that you are allowed to install the update before proceeding. Not only that, but all binaries including App Store apps and even debug builds of apps produced by the iOS SDK must be signed.
I think Apple is using all the "effective technical measures" available to them. The only way to run code not signed by Apple is to exploit a vulnerability, and e-fuses wouldn't patch the vulnerabilities that allow jailbreaking. At best e-fuses would allow Apple to brick a jailbroken device if the owner was foolish enough to attempt an OS upgrade. The only way I could see them making iOS tighter is rewriting the whole thing in a safer language than C to cut the number of vulnerabilities.