You specified an area and a thickness. Hopefully, that information was obtained from the manufacturer of the lift. The comments on here that advocate absurd thickness of concrete either 1: own a concrete company, 2: have no freakin clue or 3: both. While sufficient concrete thickness, which can only be properly specified by the product manufacturer, is important, it's equally important to place the concrete on a properly drained and compacted base. If the location of the pad is well inside a conditioned space, you probably won't need to address drainage issues, but any concrete you place is only as good as the base you put it on. The thickness and the compressive strength of the concrete only allows the the pad to distribute the applied weight to the base.
If you think about it from a strictly mathematical sense, the weight you're planning on bearing is the combined weight of the vehicle and the hoist. Whenever the vehicle is parked in the existing space, you're distributing the weight of the vehicle over the 4 contact points of the tires. With a 4000-5000 lb vehicle, that's about 1200 lbs per tire. If you knew the contact area of the tire bearing the weight, you could arrive at a pounds per square inch number. Considering that the concrete specified by the lift manufacturer is specified at 3000 PSI compressive strength, and you may now be bearing about 1200 lbs over a contact patch of maybe 25 sq inches per tire that gives a pressure of less than 50 PSI. Then you add the load applied to the pad by the weight of the hoist itself, and you still have a pretty small number.
Considering that you already have to deal with hauling away the concrete from your cut out area, It wouldn't make any sense haul out and dispose of much more material for a gain in load bearing capability the device will never see. To place much more than the manufacturer-recommended pad for the installation of your lift doesn't make financial or mechanical sense
Depending on how you removed the existing pad, you may have sufficiently disturbed the underlying soil. The most important thing is to be sure that soil is properly compacted for the placement of the new pad.