Both knives are made to very high quality standards, and using good materials. The steel type (5160) and heat treatment of the Ranger knives makes them more durable and just overall better performers than the Beckers (in a large knife) and their 0170-6 steel. This isn't to knock the Becker at all---it's a great value. It's not even to say 0170-6 is a poor steel choice---it's a superb blade steel, but has its strengths and weaknesses just like any other. For general abrasion and deformation resistance, which comes into play in slicing, shaving, skinning, etc. the Becker will hold an edge a bit better. However, a 9+ inch blade is not the one most would employ for such chores. Most using a big camp blade like this are using it primarily for clearing/limbing/splitting and light chopping. In such use, the 0170-6 will be more prone to chipping and fracturing than 5160 will, and also 0170-6 has more trouble with corrosion than 5160, and if the blade/edge is going to be coming into contact with vegetation (and all of its wonderful, corrosive oils and acids) that's something to consider too. Mind you, neither are stainless and you need to keep the edge and any other exposed metal clean and dry when they're not in use, but 5160 is a lot more forgiving, and isn't (in my experience) as likely to pit as 0170-6 when it does rust.
Going beyond steel to basic design, the Rangers are made of thicker blade stock and will have a lot more power in a swing, as well as being stronger. Even if you don't use your knife for prying, big blades can come under a lot of stress when they impact a target, and the thicker stock (and tougher, more ductile steel) of the Rangers will just handle it better. I would suggest ordering a flat ground model versus the hollow grinds. The loss of strength in the blade body is minimal and your cutting performance will be much higher
So, I would have to concur with the above and point you towards the Ranger Knives. Now, on the other hand, if you're looking for a small or medium sized knife for non-impact work like slicing, push cutting, skinning or what have you, my recommendation would swing back towards Becker, as that's where their steel choice pulls ahead.
Best of luck,
t1