How much light is your Oncidium Twinkle getting?
Like any oncidiums in general, these plants need a lot of light to bloom.
Orchids in general, when people have hard time flowering them, it's likely that they are not getting enough light.
Plants will grow and won't bloom if they do not get enough light.
Also, Oncidium Twinkle takes basically takes the same general care as other commonly cultivated oncidums. They may not die from occasional drought, but it is not good for their overall well-being, especially if they are actively growing or developing spikes.
Mine always bloomed around winter time too, and I don't think mine ever flowered more than once a year. They seem to grow quite slow, which was frustrating for a small plant growing that slow.
but the wait was well worth it when I see it covered with numerous flowers that smell so good!
So check your light and see if you can move it somewhere with more light and it should bloom in its next season.
Good luck!