When I got my first 16, a Hohner Super 64, I tried playing it with our church's Steinway. Hearing them together almost made me throw up (an exaggeration). I checked pitches on both: the harmonica was 444, the piano 438.
I mentioned here that I sent it to Hohner for a retune to 440. Age questioned the wisdom; said that once I learned to load the reeds, I'd be sorry. After ~20 years, I still don't load reeds, or don't enough unconsciously to make much difference. The piano varies, depending on the time of year, so I've had occasion to use the Super 64. Mostly I use a CX 12.
Pitches on other harmonicas I've bought since then have varied wildly, even within the same harmonica. CX 12s were the worst, around 10-15 years ago, ranging from 436 to 448(!). I retuned most of them to 442-3, and that works okay with other instruments. On Audacity, with a computer-generated piano file, I can adjust pitch electronically on harmonica to 440 with good results on a recording.
BTW, most of the flutes we made before I retired were set at 442, easily flattened by pulling out the headjoint. Many orchestras tune to 442. Exceptions were the 444s we made for eastern European orchestra players, and the 440s we made for U. S. Armed Forces bands. We even made a few 446s.
Tom