I'm going to sort of vary a little with Frank AHE (aka Slabo Baconovsky), or maybe "amplify" the issues...
In some cases there is a "tuning" in the choke input filter section, wherein increasing or deacreasing the value of the cap following the choke causes
more ripple, so there may be an optimal value for the cap.
As far as the inrush current, it can or might be an issue, but I'd rather have the extra capacitance there, if possible. There are a number of clever ways to mitigate excessive inrush current, if they are needed. The simplest is a relay with a fixed time delay, voltage/current sensing, or manual switching of the relay that places a suitable resistance in series with the primary of the transformer, limiting the initial current, then jumping it out.
_-_-Wobbly Bear Two Giant Chocolate Resistors