You're entirely on the mark--the bugs are generally not SSE-related, and are typically worked around at the BIOS level. In addition, these bugs aren't "bugs" in the software sense, but more in the engineering sense; running some specific set of 10 million instructions on 3% of the chips while holding at exactly 28 deg C flips a byte in the L2 cache or something. Not something that's easily reproducible.
OP is also right insofar as there would probably be a few gotchas with weird software that would make some engineer somewhere scratch his head because his for loop returns too quickly every third Monday. That doesn't mean that it's fair for Intel to disable SSEx, but it is probably an accurate observation--AMD and Intel have different bugs.
The results of incorrect code generation on any given platform would more likely be people ceasing to use Intel's compiler, and that's not something they want to deal with, I'm sure. As to it being anti-competitive, there's nothing stopping AMD from making their own compiler that produces more optimal code and trusts everyone's processors to work as advertised. If it produced better results, people would likely use it.
Sure there is: time and money. Huge companies that are near-monopolies have enormous reservoirs of both in comparison to the competition.
What Intel is accused of doing is considered anti-competitive because they are not actually improving their product. Instead, they are using their stronger market position to degrade the value of another company's product. This harms the overall market, and particularly the consumers. Hence, it's illegal.
(Of course, if they did that, would people use it?)
Regardless of whatever bugs may or may not exist in AMD's chips, it is anti-competitive for Intel's compiler to refuse to enable SSEx extensions on AMD processors that claim compatibility, when the user has requested SSEx instructions to be used, unless Intel has specific knowledge that AMD has never produced a sufficiently bug-free implementation of SSEx.