Cerumen Impaction: The presence of heavy reddish wax in both ears could indicate cerumen impaction, which can cause a feeling of fullness, hearing loss, and potentially affect balance, leading to unsteady gait due to the impact on the vestibular system's function.

Outer Ear Infection (Otitis Externa): An infection of the outer ear canal could cause the production of reddish wax and lead to discomfort, potentially affecting balance and gait.
Middle Ear Infection (Otitis Media): Although less directly related to earwax, a middle ear infection could cause balance issues due to its effect on the middle ear's function, which is closely related to the vestibular system.
Benign Paroxysmal Positional Vertigo (BPPV): While not directly caused by earwax, BPPV could be considered if the unsteady gait is accompanied by vertigo, as it affects the inner ear's balance mechanisms.

Meningitis: Although rare and not directly related to earwax, meningitis can cause severe imbalance and gait disturbances. It's crucial to consider this diagnosis due to its high morbidity and mortality if left untreated.
Stroke or Transient Ischemic Attack (TIA): Sudden onset of unsteady gait could be a sign of a stroke or TIA, especially if accompanied by other neurological deficits. The presence of earwax would be incidental in this case.
Vestibular Neuronitis: An inflammation of the vestibular nerve can cause severe vertigo and balance problems, which might be mistaken for issues related to earwax.

Cholesteatoma: A rare skin cyst in the middle ear that can cause destruction of the surrounding bone and tissue, potentially affecting balance and hearing.
Acoustic Neuroma: A benign tumor on the nerve connecting the inner ear to the brain, which can affect balance and hearing. It's a rare condition but should be considered in the differential diagnosis due to its potential impact on the vestibular system.