You care far too much about your shutter angle, just saying. You might notice the most slight difference in your raw footage, but after you export that video to h264, upload it to a player, have it smashed down to 2mbps so it can be played online, no one notices, it doesnt matter. I know some people take their shutter angle as seriously as every other setting on your camera, but for skiing and uploading videos of your homies, its not a huge worry and something we should push so hard on new filmers IMO. Let people figure out the settings they like and do it their own way, rather than jamming a bunch of random numbers down their throat telling them they have to do it this exact way.
TBH i think shooting 1/125 for 60p or 1/48 for 24p looks way too blurry for action videos, stepping up to even 1/250 looks just fine when you're panning super fast or mobbin behind someone hitting a rail. I think shutter angle is something that we should stop pushing so hard and focus on being creative and different from each other. Just my 2 cents.