I have both!
In my opinion you have picked the top two manufacturers out there!
They are both tough, really tough, and I doubt you will have problems with either!
Generally, if PB make a tool, it's the best out there. That applies to screwdrivers, screwdriver bits, allen keys, punches, the lot! How do I know, well, I've spent a good number of years doing repetitive assembly tasks, and I know how well the PB stuff lasts!
PB ball hex bits will set 100's of screws in a situation where Wera's will snap after 15! PB Punches will still be punching pins long after others have had to be reground, and my 25 year old PB drivers are still in daily use and still unmarked!
Now, I know at this point someone will say something like "Yamakhazi brand hex keys take .023 pound inches more torque in 17/64 size according to Yamakhazi User magazine! WHO GIVES A F**K! If you're an average user, not straining his tools to breaking point, the PB outlast the rest
I don't have many of the 3/8 drive bits (most of mine are 1/4 drive) and those I do have live in the road bag I used in a previous life! I can only say that I didn't break one in about 8 to 10 years of on site servicing, and I believe them to be as good as any other PB tool!
The downside with PB is that they offer a very limited range of these. If what they offer is what you need, then fine, but if you need a greater range of sizes, or inch sizes, or half inch drive, you will have to look elsewhere!
Hazet, by contrast, make about the biggest range of these things out there! In half inch drive they even offer a choice of a one piece design (some of which I own and seem to be mega tough) or a two piece design (which are mega tough as well). In 3/8 drive they offer metric and inch sizes (and torx, and spline etc) and two different lengths!
I started using the Hazet when I twisted a Stahlwille two piece torx, but found out they wouldn't supply the inserts separately, which make the two piece design pointless I reckon! I have no complaints. I reckon they are as tough as they get!
Which should you get? To be honest, it depends what you do! If it's cleanish light engineering, assembly work, or electromechanical, then I'd go with the PB. That's the environment they were designed for. I'd buy the rest of the catalogue too.
If it's general automotive work, I'd probably get the Hazet. They're not flashy (though the current gold coating looks good and wears even better) but they'll work and work, and you can add to them as and when you need to!
I'll add some pics if I get time!