As someone who spent a good part of my professional career in forecasting and time-series analysis I would like to point out that "point-forecasts" are mostly useless in many import practical applications such as FinTech, e-commerce, sports betting, etc. Point-forecast models such as Prophet fail to give you a meaningful measure of uncertainty of the predicted value. A much better approach are probabilistic forecasti…
Can you elaborate a bit? Prophet can use MCMC sampling and includes uncertainty in its forecasts.
Prophet is a GAM (Generalised Additive Model). It decomposes time series in additive components: trend, seasonality, holidays and noise. Most interesting time-series are not so simply decomposable. Making Prophet Bayesian and producing probabilistic forecast by MCMC sampling from trend/seasonality/holiday posteriors still keeps its GAM structure. Might be for a simple exploratory analysis Prophet is a good go-to tool but all the research action is now in Deep Learning Forecasting Models.
Also, IMHO, Prophet deals with individual TS and teaching it to produce vector forecast for multiple TSes at the same time is tricky (or not even possible).