I have an amaryllis that has been going for about 4 years now. Last year I repotted it for the first time. After the flowers have dried ( they look quite striking when dried up too!) I stop watering and leave the leaves to dry up too. At that stage I put the pot in a dark spot in the cellar until I remember to haul it out - the lack of vegetation outside normally prompts me to remember the potted miracle waiting patiently in the dark. In fact your article has just jolted my memory - perhaps we'll have some flowers for christmas!
We used to have a lovely big patch of Amaryllis in our garden in Zimbabwe (Africa). They just kept going all year round - the occasional light winter frost did not seem to affect them much. I don't remember their flowering habits but seem to recall that they did have show of flowers at a particular time - probably after 'winter', which is the dry time of year and most plants get a new start with the rain and the heat returning around November.
So, give your bulbs a second chance - they deserve it!