Aren't SSA analyses generally only "kinda flow-sensitive" since values are only renamed where control flow merges, not where it splits? E.g.
int x = ...
if(x > 0) {
use(x)
else {
use(x)
}
In a DFA where you track information about each variable at each program point, you could push the constraint implied by the condition into each branch. If you do a sparse analysis on SSA form, that doesn't come naturally, right?
To handle this case some SSA implementations add a concept of "pi" nodes, which are used to artificially split variables on branches that establish some useful data flow property.