I use mono for drop shot only. I would never go back to mono For all the reasons he just gave. Not to mention as a mostly shore angler braid casts much further.
Mono for dropshot? Yikes
Line choice has always been a hot topic, and very opinionated. It not always the line that failed, a lot of times it's user error. Using the right gear for whatever application you're fishing can make a big difference too. That said there are still line companies I will not touch. I will list below what has worked well for me the last number of years.
Flourocarbon Used 90% of the time:(Mostly Seaguar Invisx)
Jigs/T-Rig/Plastics - 8lb -15lb
SpinnerBait/Chatterbait/Soft Swimbait/Swimjig - 15lb
Crankbait/Jerkbaits - 8lb - 12lb
Dropshot - 6lb 99% of the time
C-Rig - 15lb w/ 15lb mono leader most of the time
Finesse Baits - 8lb mostly
Mono (Mostly P-Line CXX)
Topwater Poppers & Prop Baits, (Sometimes Walking baits but they tend to foul up more with mono, so I use them more with braid)- 10lb -15lb
Bigger Swimbaits (Slammers/High water column swimbaits) 20lb +
Braid - (Power Pro)
Hollow Body Frog - 50lb
Soft Plastic Frog/Buzzbait - 30lb -50lb
Fliggin - 30lb-65lb
Swimjig around the dirty stuff - 30lb-50lb
I think that cover what I do for the most part. I don't break off much, but when I do it likely to be something stupid I did like set-up the hook way to hard with 6lb test, or forgetting to check my line/knot for abrasions.