Truthwatchers and Lightweavers share the Surge of Illumination.
In Oathbringer, Renarin had been having trouble using the Surge of Illumination to craft illusions like Shallan does. While Shallan is a standard Lightweaver, Renarin is not a standard Truthwatcher as his spren is Corrupted, that makes comparisons difficult.
We do, however, have another example of potential usage of Illumination by Renarin. In the Battle of Thaylen City, Renarin uses light to banish a Thunderclast. I don't think this is specific to Renarin's unique condition as, like Glys, Ym's spren too told their Radiant that they could make things go away with light when Nale attacked him in WoR.
We do know that the Surges have a Spiritual component to them. Shallan using Connection to those she draws for her Lightweaving. Renarin glimpsing into a person's Spiritual and applying it on the Physical body. Both Illumination and Progression have a Spiritual element within them. Perhaps Truthwatchers are more proficient in Spiritual manifestation of their Surges, like the Bondsmiths.
We do know that the Surges don't always manifest in the same manner among the Orders that share them.
Perhaps this is how the Surge of Illumination manifests in Truthwatchers. Maybe they don't craft illusions. Truthwatchers are more about truth than lies, which are under the purview of the Lightweavers.
Alternatively, the banishing light could also be a combination of the Surges of Illumination and Progression, their Resonance perhaps, a cleansing light (might as well go full throttle on that paladin theme)