Mandy, even with the external weight, I need to use eye ointment continuously or my eye feels just as your husband describes. The major benefit of the weight is helping to keep the eye shut at night without taping so that the cornea does not get too dry. While my eye shuts completely at night, I only blink half-way so the tears (which thank God I do produce, many don't) are not distributed properly over the whole eye. The ointment does blur my vision, but my brain has learned to compensate and I see well enough to read, drive and so forth.
Your husband is wise not to rub that eye. But I have found that shutting my eye and gently rubbing in a circular motion at the inside corner (nearest my nose) gives me relief. I have never given it much thought, but tt probably helps with distributing the tears.
Best to your husband. It does get better