I'm on PS4 and can confirm my gameplay experience while batting is pretty much similar to yours. I barely get any edges and even if I get an odd edge they don't feel natural and organic. Sometime the ball passes the bat or the ball simply lobs up for close-in fielders to catch the "edge". If I reduce the reaction time by lowering 'Ball Marker Display Time' and/or by increasing the bowling speed ('Max Speed' modifier), I miss the ball altogether with 'LATE MISS' feedback for Timing. This leads to more dismissals by way of LBWs and bowleds since the reaction time is lowered, you still don't get edges - at least I don't.
But mind you I don't play with 'Pitch Marker' enabled. I'm sticking to 'Ball Marker' way of batting using 'Far Batsman' (behind the batsman) batting camera angle. Who knows batting with pitch markers and Broadcast camera angle leads to more edges as
@WealeyH is playing with pitch marker on and with the broadcast camera. I tried playing with pitch marker but abandoned the option as it led me to look at the pitch for pitch marker and not at the ball and bowler's hand while the bowler was running in. Also, for pitch markers it's pretty difficult to bat using behind the batsman camera and you will need to switch your preferred camera to Broadcast.
Edit: I've played Tests, Odis and T20s and have had a similar batting experience. One other point to note - I've the North American version of the game. Who knows if different regions have different versions of the game with different gameplay experience.