It's a really interesting thread, first thanks for kicking it off
@Tobers! Here are several thoughts I have noticed about my photography and probably others may have found similar.
First I came up through the film route, I found film a slower process of photography, prime lenses did make you very much more aware of framing as
@Carl Hall mentioned. One of the other elements was cost, it made you think not to waste film and shoot with a little more thought.
Digital seemed to send me stir crazy, I think it almost erased almost every strand of photographic knowledge. Until I thought what the hell am I doing!
Anyhow I guess for those that are fortunate enough to live in an area with stunning natural beauty 'Seeing' comes a lot easier because of the area in which they live, so the learning process must be a lot easier. I find it not uncommon once I have found a location that it takes several visits to get the shot I want, first visit looking around taking some shots but it's not until you have been to the location at least a couple of times, you can visualise in your minds eye what you want where you want the light to be (no matter how much you google the location or use suncalc or whatever). IMHO.
I think Landscaping is possibly one of the hardest disciplines to crack. Light makes or breaks a lot of shots, so time of day is important which restricts to your window of opportunity. What looks great at sunrise can look nothing at sunset, so knowledge of the location is yet another element. Right place at the right time and all that!
Your dilemma coming from Sport Photography where, as you say the subject is presented in your lap, so it must be flustrating moving to Landscape where in many cases it's about chasing the light or alternately it's a waiting game with patience needed by the bucket load.
Things I struggle with are those poxy LCD displays on the back of cameras, can Togs really see their framed shots with them? Maybe my eyesights worst than i thought, as an experiment I have recently hooked up a tablet, just to see if it helps, not tried in anger yet... I use viewfinder always apart from when in live view, magnified up, to check focus.
I believe slowing down is probably the key, and like Carl says don't 'plant' your tripod! I think that frame shown in the link I posted in #8 above might be a worthwhile consideration too, at least initially. The other thing I will mention is studying others work on here, and critiquing, in that way I think it enables you to identify the good and bad elements of a landscape shot and thus help you 'see' what you like and what works and what doesn't.
Just my 2d