FedEx Shipping IS eligible...
I run a small business and we use FedEx Ground for about 50% of our shipping needs. I can assure that we get FedEx points for ANY FedEx Service (ground shipping, express shipping, printing, copying etc.).
For us, it really is bonus. I use the OPEN program with Amex that gets us a 5% rebate on all FedEx related purchases, plus we did a ton of shipping during the holidays. Last year, they ran a promo where for every 10 shipments, they gave you an extra 10,000 points. Essentially, it came out to 20% off the cost of shipment. I converted those into about $400 in Amazon certificates.
I believe one person per account #/company is eligible for these rewards. I would not use FedEx just for these points, but if you are shipping with them anyway, this is a nice little bonus. PM me if any questions.