You have to remove the toilet. Don't hack around it with tape.
It is not big deal to remove a toilet. I do it all the time just to 'inspect', find that nothing is wrong, and then a $2 new wax ring gets reinstalled.
I have used many waxless seals too, and they are all very different depending on what the toilet and what the flange is. I don't know how long soft rubber can last vs. undisturbed wax, but considering how resiliant polymers are today, waxless seals aren't really any different from longevity of PVC water supply hoses, PEX pipes, ABS, and whatever they use to make chrome plastic Moen shower heads.
Wax is organic material, and does break down. Just because it's "tried and true" doesn't make it the best. If we still thought that way, Dahl ball valves wouldn't belong with toilets, people would believe unsanded grout is better than epoxy, and Schulter Systems would never give birth.