I don't see any issues at all with going either way. It really comes down to experimenting and seeing what you like. One nice thing about the true 100% types like the Lumberjack hickory that you mention is that you can use them to make your own blends. A lot of pellets say Apple or whatever, but are actually only partly that and the rest is oak or some other additional wood. That doesn't make them bad, but they are not 100% of the featured wood on the label.
I think 100% hickory would be a good choice for chicken if you are looking for a stronger bbq flavor. It would work with other meats, but I would tend to go with apple for pork, or use a blend. I am still very much experimenting, but I do really like Weber's GrillMaster Blend. I just don't like the price. I have some other blends that I want to try that have similar composition. I hope someday to report back on my additional findings.
Another interesting option for blending in with other pellets is charcoal pellets. SmokeDaddy makes a good one, but I have purchased (at a way better price) a bag of Pit Boss's version. I am interested to see how they work. For people who miss the charcoal flavor of conventional bbq, this is a way to bring a little of that to your cooking.