So, if we are having a fall now, does anyone know if there is an actual rationale for why another wave is predicted in early summer?
Because this is how respiratory viruses work, even more so where so much of the immunity is from the low quality vaccine and not infection - vaccine immunity wanes more consistently than infection immunity because everyone got pretty much the same "dose", whereas some people with infection immunity would've been larger/smaller etc.
So once the amount of immunity in the population falls low enough to support exponential spread, then the virus starts spreading exponentially again.
Normally this coincides with environmental conditions that give a boost to the infectiousness of the virus, but with the more novel virus with lower immunity and more from the vaccine boosters which will have waned by the summer, we'll probably get it in the summer.
They are currently saying we have just passed the peak
We cannot have both "passed the peak" and have an R of 1 - unless the generation time has also extended significantly, otherwise we'd remain at the peak. R must be below 1 (or the generation time growing in a way that isn't really feasible with covid because you recover too quickly)