just gathering the comments from https://www.shadertoy.com/view/WttXWX in a place I can actually find, which also has more markdown :)
OK, results are in: as 32 bit RNGs, the 3-round Wellons function here is marked as weak in just 2 tests, with no failures. The 2-round Wellons function has 4 weaks and 1 failure, the murmurhash derivative only slightly worse with 5 weaks and 1 failure. Jenkins and Wang have many failures (Wang fails almost everything) so aren't really in the running.
http://webhome.phy.duke.edu/~rgb/General/dieharder.php http://simul.iro.umontreal.ca/testu01/guideshorttestu01.pdf p 88-157 https://github.com/umontreal-simul/latticetester
Individual tests (just the negative results from the 50 or so tests):