In reading the descriptions and application & finishing methods for Tru Oil, it seems to be a hardening or (maybe) polymerizing oil, more like boiled linseed oil, Danish oil or varnish-like products. It's reputed to be essentially permanent, very durable and water-resistant, if not waterproof. If so, I doubt dish detergent would actually break it down, as with simple food oils or mineral oil. That being said, I'd still be careful with washing wood-handled knives, until it's known if the wood itself can handle it and if the wood is completely sealed with the product. I could imagine moisture might tend to get trapped in the wood, if it's only partially sealed or not treated on the underside of the handle slabs. Some bare, untreated woods wash easily with dish soap & water, like walnut (as used on a lot of kitchen knives). But I wouldn't soak any of them or immerse them for more than a few seconds, or wash them in the dishwasher at all.
And dish soap can be as mild or as strong as you wish to make it. Just vary how much water you use with it. Usually just a few drops in a sink-full of water is enough for most light cleaning tasks.
David