Okie Hick has related part of the issue...great help there....something I never thought of.
It is normal for water to enter door between beltline molding (horizontal piece, lower edge of side window, top of door) and window glass.
Water then travels through door, exits usually two places on interior side of bottom of door sheet metal. This is all outside of door weatherstripping, so does not enter car interior.
There is a clear flexible plastic shield between door sheet metal and interior door panel. This plastic protects backside of interior door panel, and helps keep out wind.
Water can easily get onto sealed power window motor, window regulator, and door latch and lock....those items can handle water.
There are slits or slots in hard plastic behind speakers to allow air behind speakers (to enhance sound). This is the only place where water could get through door to interior of car, yet is protected somewhat.
Bottom line...it is normal to see water dripping from a door, after door opened right after washing, or during rain.
And yes, water from cowl area washes or drips between front fender and welded body of car...helps rinse that area which could have gotten mud, leaves, etc. within.
It's a somewhat self-cleaning house on wheels, yet is NOT designed to float ! LOL.