It partly depends on what you want to do with the seeds and partly on what you want from them.
If you wanted to trade tomato seeds, have seed bourne pathogens, or wanted to use a seeding machine, then fermentation or even further steps like heat or chemical seed cleaning might be needed.
If you simply want a few seeds for your own use, the paper towel method works.
Richard Clemence a
Ruth Stout coauthor had a technique where he buried a few tomatoes next to a stake in his
Ruth Stout style
hay mulch each fall. Then dug up and planted the seeds in the spring. They never left the garden.
I do a lot of direct seeding with a garden seeder. I find intentionally planted seeds always outperform volunteers in terms of germination in my garden. I think the stake and mulch method could be an improvement over random volunteer germination. Though I haven't tried it and don't trust my rodents not to redistribute the seeds.
I also do some trading. So I ferment. Fermenting reduces some pathogens. I've watched YouTube videos of heat treatment which is a better pathogen removal tool, but is more advanced than I need. I've read about an entirely chemical means to clean the gel off the seeds but never tried it.
For trading or selling, cleaner is better.
It sure doesn't need to be complicated though. The tomatoes in question volunteered this year, with luck or maybe a little help from a stake or a little strip of paper towel there is a good chance they will be back next year.