Different residues behave differently in a wash. Edible oils respond to caustic. Sugars dissolve in hot water. Most cleaners and detergents are designed to be water-soluble. Adhesives are harder.
Why they are hard
Adhesives are designed to bond to surfaces and resist water, mild solvents and moderate heat. That makes them difficult to remove from the inside wall of an HDPE tote.
A standard wash can leave a thin film behind. Visual inspection may miss it. It can show up later as odor or discoloration in the next product the tote holds.
How reconditioners typically handle them
Totes that held adhesives may get a solvent pre-soak, a more aggressive wash and extra rinsing. Even then, some will not come clean enough for reuse in sensitive service. Those are often repurposed for non-critical uses or sent for recycling.
What it means for buyers
A tote that held adhesives should not go into food service. If your product is sensitive to odor or trace residue, ask what the tote held before.