Although the advertising logo probably doesn't affect the value, it does make the knife doubly collectible, of interest to knife collectors and people interested in that company. Think of all the people who collect CocaCola or railroad items for instance.
As far as how to react with regards to collecting that knife, it's all about "condition, condition, condition" - don't do anything that would alter the knife. Don't sharpen it, don't polish it, don't use abrasive cleaners, and keep all of the documentation and packaging in original condition.
Also, since you're new to collecting, give your own recordkeeping some thought. It's easier to start off with a system than to try to remember the details at a later time. Photos, scans, computer database, record book, whatever.
Those are my thoughts. I'm sure you'll hear more from the more experienced/serious collectors shortly.
And WELCOME to the Schrade Collectors Forum!
Best Wishes,
-Bob
PS. Also give some thought to security. Not just from malicious thieves, but from curious house guests and grubby little fingers. Maybe you don't have anything particularly valuable yet, but finding replacements for even a few lost knives is an incredible ass-pain and heartbreak. I had a dozen knives stolen once - mostly ordinary factory knives - and it took 12 years to locate identical replacements.