"Hey I just missed once, that means I can now hide and autohit assassinate my next target!"
Except that, for this situation to occur, you would have needed to miss with greater than a 90% chance of hitting, -and- your next attack would also need to have greater than a 90% chance of hitting. It won't turn into an auto-hit unless you already would have had less than a 10% chance of missing, which isn't nearly the benefit/exploit you make it sound like.
Regarding accuracy inspirations not effecting anything, that simply isn't true for the system as a whole. They directly increase your current to-hit numbers, and thus directly (and substantially) increase your chance of ending the current streak by actually hitting (rather than invoking streakbreaker).
If you just raise your to-hit from 5% to 10%, your odds of missing 100 times in a row drop from one in 169 to one in 37,649. At 15% the odds of missing 100 times in a row are already one in 11,432,000! No, enhancing your accuracy won't make the system more likely to artificially break your streak, but they will make it much more likely that it ends normally on it's own.
