This is just not true. Introsort (the current std::sort in all C++ compilers I know of) also has 'killer' inputs, and will switch to heapsort twice as slow than than pdqsort does in those. Worse, the libc++ implementation of std::sort has a quadratic killer sequence that I found 7 years ago, and it is still not fixed: https://bugs.llvm.org/show_bug.cgi?id=20837. In my opinion there is no good reason that pdqsort is not adopted yet as std::sort as it is faster for many patterns, faster for random input and rarely if ever slower.
In fact, pdqsort is the standard unstable sorting algorithm in Rust: https://doc.rust-lang.org/std/vec/struct.Vec.html#method.sor...
Note that any deterministic quicksort variant that does not spend a lot of time on choosing its pivots will always have some 'killer' pattern that forces it to use its fallback algorithm (or worse, go O(n^2)), as you can always shuffle the input array such that poor pivots are chosen. What pdqsort does is shuffle things around so that those 'killer' patterns are a lot less trivial, and are not as likely to occur in real-world input. For me determinism was very important so I didn't do it in https://github.com/orlp/pdqsort, but note that the variant implemented in Rust uses non-deterministic swapping and thus it is impossible to force a 'killer' input against it.
Sorting on an integer key isn't the same as sorting a list of integers. They have different performance considerations.
As for performance considerations, blitsort's performance on integers is indicative of its performance on strings, while this isn't the case for pdqsort.
I haven't ran a specific benchmark, but I assume that on string data blitsort will beat pdqsort for every metric except random with many equal items.
As for stability, it's useful when you need to sort a table with an integer index. So it might be of value to database software.
I probably should point out some of the weakness on the README.
Agreed on pdqsort being 3x slower worst case on "killer" input, but it's my understanding that's why it's not being used to replace std::sort.
As for runs of 50, haven't benched those, though I assume gridsort (https://github.com/scandum/gridsort) would handle those rather well.