If by 'high spren,' you mean highspren themselves, or True Spren (The spren that can form Nahel Bonds and give humans the ability to Surgebind) then in both cases, you have been misinformed. The spren themselves do not Surgebind, it is a Nahel bond with a human that gives it a life, and a mind, and gives the human the ability to Surgebind. Void spren behave similarly. I am unsure if there are a True Spren equivalent, but I do know that singers/listeners can bond with Void Spren to become Singers or Regals. As is the nature of a spren-human/singer bond, the spren gets something out of it (for void spren idk what it is, for True Spren, a mind) and the human/singer get's a form of Investiture and power. (i.e humans get Surgebinding, which is dependent on the spren involved, and the Singers get a form of power, which could make them a regular Singer, or a Regal, depending on the void spren.)
In short, Void Spren cannot Voidbind anymore than True Spren can Surgebind