FWIW, older toilets used lots of water, often nearly filling the bowl, before the weight of that water caused then to start to siphon and flush. Since there are regulations that reduced the amount of water that can be used for a toilet to flush, most get the siphon started in a different manner - a large flush valve and a siphon jet that gets a shot of water rushing out the outlet that then helps start the siphon, and therefore clear the bowl. Going down in flush valve sizes means less water can get out at once, and a likely decrease in flush efficiency. So, depends on your typical usage habits (like how much TP is used, how big and hard the deposit is) whether there's enough oomph to really flush the mess down the drain. You will have a hard time finding a good flushing toilet that can perform as well as one with a larger flush valve, and depending on your actual needs, it may or may not solve your issue about skipping over. This is not a Toto unique situation...it is shared by most (all?) modern toilets with larger flush valves and probably all pressure assisted ones.
Terry has a fair amount of info on his storefront...I'd start there. Toto, last I checked, still makes a few with a 2" flush valve. You may or may not be satisfied with their installation in your situation. Someone sitting on the opposite toilet when the other is flushed may be in for a surprise, and a lowered water spot in the toilet may affect its ability to flush since, instead of starting full, some of the water released during a flush has to fill the bowl to 'design' level, before it can then start the actual flush action. That may or may not happen, sometimes requiring a second flush to clear the bowl from the now full bowl.