I think that BDeC has worked out a very good way to play American PGA courses. Many are similar. Not many bushes or hedges to lose balls in: trees are tall with lowest branches quite high affording a full swing beneath them, thus nearly always a line to the green. Rough is playable from, ok, so it might make the shot a flier with no spin, but other than that....
Compare with British courses where pros don't play on tour - like where we play. Many places where balls become unplayable. And drops have to be taken. How many drops do pros take in US.?
Most Pro golfers can play most types of courses, but I suspect BdeC. would have to change his style if he moved from the US PGA courses I have mentioned.
About not liking his swing- yes, not pretty but his approach shots are as good if not better than most off the fairway.
Just to add a slight balance - guys at my club who marshalled at RSG said he was great and had a great sense of humour - quite the opposite as to their comments about Paul Casey who they reported to the chief marshall
Free drops: as many as they can get away with!
I take your point about penalty drops (but that could be because pros are more capable of playing from positions that are unplayable for the likes of us).
As for BdC: it just occurred to me that I like to watch Bryson in the hope that he will cock it up, while I like to watch Rory in the hope he will tear up the course, which kind of says it all.
(Unfortunately I am often disappointed on both counts).