No way. If it ain't a ferguson. It ain't a toilet
https://www.youtube.com/watch?v=IL2YRDzpTL4
OP - if you are replacing the toilet yourself - be prepared for some disgusting stuff. Old wax rings are awful. Make sure you have long rubber gloves and a big zip lock bag. Remove the old toilet, stuff a rag in the opening of the exposed closet flange (more than shit can fall in there now), grab the inside of the wax ring and try to pull it off in one piece. If successful, stuff it into the plastic bag, seal and throw away. If you compromise the integrity of the old ring (or if its nearly disintegrated anyway), best bet is to use an old putty knife to scrape it up and put it in the bag.
Old closet flanges are notorious for rotting out. If the metal ring on your flange is trashed, your local big box hardware or plumbing store will have a plethora of options to fix it without having to replace the entire closet flange. Only issue that I haven't been able to fix in the 10 or so toilets I've replaced was when the closet flange for one was recessed below the floor board. No idea how that happened, but there was no simple fix for it and I ultimately resorted to cutting out the old closet flange and replacing it with a new one. Turned a 1-2 hour job into a 2 day nightmare.
Once you have the flange all set up, remove the rag from the flange, put a new wax ring on the flange, and set the base of the toilet LIGHTLY on the new ring. Make sure the opening on the bottom of the toilet is 100% aligned with the closet flange. If its not realign the toilet and the ring, as you don't want shit leaking into the space under your toilet. Once you are convinced the toilet is lined up right, sit on it to apply even pressure and squash the wax ring into place. Assemble the resit of the toilet and connect the water lines. Once the lines are connected, flush the toilet many times (at least 10 or so) and check for leaks after each flush. You want to detect any issues with the wax ring BEFORE you use the toilet for its intended purpose. Trust me.
Good luck. As for selecting the toilet - I suggest you sit on some comfort height, round bowl toilets and see what you think, particularly if you are tall. Kohler has some nice options, and I've never had one clog. They even handle my 5 year old's epic logs without problems (I seriously have no idea how my son produces those, they are literally half as long as he is tall).