I don’t think that’s correct, other than maybe technically (yes, the best kind). Excrement, itself, is dirty; when inside of you, it’s mostly contained, but while traveling outside of you it leaves deposits on your skin. Your insides might be (debatably) cleaner, but your outsides - where it usually matters most in terms of cleanliness - won’t be. Otherwise, we wouldn’t wipe or have bidets.

Besides that, there are secondary impacts. For example, assuming you’re in a place with modern plumbing and not camping or an outhouse or something, you should probably flush when you’re done. This causes a toilet plume. Personally, I don’t think this is enough to be considered “dirty,” but I definitely would describe it as “less dirty.”

Finally, partially depending on both your toilet type and body type, even if you’re eliminating sanitized waste, there will still be interactions with several parts of the commode. Especially in public, that is definitely not a hygienic experience.