This conversation is not about parachute rigging, and the analogy is irrelevant.
If you insist, however, most jumpers pay for their own jump, and for the pack job, eliminating the analogy to mechanics or pilot making the higher wage. In that case, the pilot (jumper) pays, doesn't get paid, and the only one to get paid is the rigger. The actual pilot who flies the jump aircraft, of course, gets paid peanuts.
If you're referring to the rigger as the mechanic and the jumper as the professional, then you might be referring to an accelerated freefall instructor, or freefall photographer, as most jumpers and most jump professionals pack their own rigs. In this case, the professional jumper makes considerably more money for a given jump, than the packer.
You'll also need to qualify the packer. There's no certification needed to pack the main rig: only the reserve needs a rigger certification. Many who pack, especially at busy drop zones, are not qualified riggers.
If you're talking about a rigger packing the reserve, the same is true of above, except that a rigger certificate is required, but the pack job lasts through many jumps without use, reducing the cost of the pack job per jump as a simple matter of division.
You'll also need to consider that it's extremely rare to find a rigger that is not a jumper; nearly always an experienced jumper, if indeed a rigger can be found anywhere that is not a jumper. I've never met nor heard of one. By comparison, mechanics who are pilots are not common (I am one). Most jumpers are not riggers. If you intend to use the jumper as the pilot in your analogy, it would correspond to more pilots not being mechanics, which is also true (I'm both).
The professional jumper still makes more money, and to follow your analogy to conclusion, also takes the far greater risk. Just as the case with the mechanic-pilot subject of the thread, the rigger-jumper equation sees the same relationship in a mishap. The rigger, like the aircraft mechanic, goes home to his or her bed. The pilot-jumper does not.
Most jumpers have considerable respect for riggers, particularly given that riggers are jumpers. Most pilots have little respect for mechanics, and most mechanics have little respect for pilots. Pilots will continue to out-earn aircraft mechanics in the long run. The two are apples and oranges, however, and different directions and career tracks. The pilot does not enjoy a 9-5 existence with free evenings and a schedule that's predictable well into the future. The mechanic does. The pilot often does not sleep in his own bed, while the mechanic has that luxury.
There are many jobs as a pilot that do not pay nearly as well as others. Pilots accepting those jobs know that they will not make as much as other pilots. So be it. Maintenance jobs make more than some pilot jobs, but considerably less than the upper rung jobs, and mechanics undertaking that career know this, too. If a mechanic wishes to make pilot jobs, then the mechanic's best course of action is to undertake pilot training and fulfill the sacrifices and effort necessary to be a pilot.
If a man wants to earn what an attorney earns, then become an lawyer. If a man wants to earn the same as a physician, then go become a doctor. To compare the wages of pilot and mechanic is incongruous simply because they both work in aviation; they're two different jobs. One might demand that the kid driving the fuel truck make the same, or the secretary at the FBO, or the ground school instructor, or the man painting the stripes on the runway. One airport manager earns more than another. One pilot earns more than another.
At the largest, most active drop zone in the world, the mechanics live in near poverty, on the drop zone, in a trailer park owned by the drop zone, like nearly everyone else. One of the most famous freefall photographers in the world, a man who has filmed countless movies and jumpers, lives in a trailer in the same location. The pilots, who make roughly what the mechanics make, commute, but know they'll be making far more in the not too distant future; they do their time and move on with hours in their logbook, and the option to progress in salary, condition and equipment, throughout their career. At the end of the day on that drop zone, however, if a jumper bounces, the pilot goes home to his bed, the mechanic to his, and the pilot dies. The rigger sleeps. If the pilot makes a mistake; an entirely load of 22 jumpers may die, and the riggers will still go home to their beds, as will the mechanic. The pilot will not.