Earlier quoted context omitted.
What is not generally understood is that these models don’t predict egg prices or inflation in Italy. They decompose a time series into trends, seasonality and residuals. That’s what they are actually modelling. They cannot predict wars in the Middle East influencing inflation unless there is a seasonal pattern(s).
I am not familiar with time series models, but judging from your answer, it would be necessary to feed long time series into this model for it to detect trends. What is a token here? Can it, for the lack of a better example, take in all intraday movements of a stock for a day, a week, a month, etc?
If you are talking about granularity of observations, it would depend on what you are trying to predict (the price in an hour or the price in 12 months?) and how quickly you need the prediction (100ms? Tomorrow morning?). If I had infinite data I would use granularity as a hyper parameter and tune that to a level that produced the best test results.
I am for example currently using weekly averages for non-price data forecasting. I could use daily data but weekly is absolutely adequate for this purpose.