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It is funny when people walk up and I say, "why don't you guys play thru"...and they look out on this wide open hole with 100 discs laying everywhere...some long...some in the middle...some short....on the right, left and middle...it is a dizzying array of colors...and most simply walk around to the next hole. :) Would that make you mad?
The question comes down to flow of play. Really slow play is frustrating. How do you get in a flow when there is no flow to the game? It's like being in a big traffic jam. I have a low tolerance for really slow play.
It is more bothersome when there is no good reason for the delay, in traffic or on the course. Dang, Buddy, learn how to merge! C'mon Lady, drive you car, don't stare at the accident on the side of the road! Now if the driver has white hair (or that bluish white color) and Coke bottle lenses in their glasses then no problem, take your time.
Accepting that tournament play is justifiably a bit more deliberate, especially in terrible weather conditions, the biggest sins of slow play are: a lack of a sense of urgency to be efficient and lack of being prepared when it is your turn. Some players have both problems, know it and do not care. When I am behind that player in a tournament or in a casual round it bothers me.
I don't care in a casual round if a group or person wants to be slow as heck or take multiple shots, so long as they offer upcoming groups the opportunity to play through. In casual play my group may be the slowest on the course (in bad enough weather maybe the only group on the course) because we actually set up to throw and follow basic courtesy rules and we are happy to let folks play through.