This is a subject that can go on almost indefinitely and requires comparison of both units' total specs, including whether the FSB, Memory and CPU specs match to avoid any bottlenecks in the data flow.
Video rendering and editing is CPU-intensive, almost to the exclusion of the video card. Actually playing a video puts a heavy load on the video card, but not the preparing of the video. That's why gamers are so fanatical about the vid card, they deal exclusively with video performance. So, without going into tons of spec analysis, I would say the the main difference is the Intel vs an AMD processor. Intel traditionally posts the faster specs of the two brands, and especially how much L2 & L3 cache is available on the chip. That can make or break performance big time. When I build, I put as much emphasis on the amount of cache on the chip as to its clock speed. I use AMD exclusively because they are far less money but are very dependable. BUT, if I were to build for a gamer, I would include a monster video card with water-cooling for the CPU and overclock it. For a video editor/rendering unit, I would go with the highest quality Intel chip the customer could afford.
Bear in mind that you are running an AMD in your desktop, so if wish to upgrade to an Intel chip you would have to switch out the motherboard also. In a retail unit like an HP that just is not realistic. You may as well build a new unit from scratch. Also remember that HP desktops are oriented toward the average, Mr. Business man who surfs the net, runs Word and Excel, Facebook and Linked In and that's about it. Laps on the other hand are increasingly oriented toward the younger, gaming freak. This is in general, not unit-specific so that is another branch of discussion!