I used to have some 404 Medium hats, but decided they were too thin - where the thinness was too extreme. When tight, it was prone to produce the DINK noise with no wash. They do have wonderful wash.
Therefore, I do indeed highly recommend these Heavy hats, unless you just want to go with some 505s.
I do now have some 404 Sounde Edge hats. My top used to have a dent in it. Repaired (forcefully permanently popped out) but now works and seems to sound fine. I rarely used them together and the bottom is a great B8 rippled SE bottom. For that reason, I will always keep it.
I must note, that recently have come to appreciate the 70s (yellow - likely B8) black ink CAMBER top hat - with the stamp MEINL AMBICO CAMBER. It is almost identical to the 404s in lathing and sound. Actually, the MAC is brighter and wetter. Of all things, I run with a Pearl CX-500 bottom (brass or B8?). Bizarre what combinations you discover.
But the 404 Heavy hats - yeah, great stuff! Definitely better than the Mediums. Notice the weights, still thin.