I use both electric trolly and carry as they have pros and cons,
Elec Cart
Less stress / potential back problems carrying
Can move your clubs uphills without any effort
Clubs don't clatter together as much damaging my nice forged irons
Less tired at the end of the round, or especially for me on two round outings
You can carry more stuff/juice/snacks/beer!
You don't have to repeatedly lift it on and off your shoulder
Carry Bag
Quicker to get ready and off to play
Can walk over tees/greens
Can walk through rough
You can leave it in your locker if you have one
It wont break or run out of juice during a round (in my case the wheel sheared off my trolly 5 holes from the finish during a round last season - major pain in the ass trying to steer a 2 wheeled elec trolly)
There are many more pros and cons debated here previously.
I never carried for years but started again last season, especially for quick games and tbh, enjoy doing both. Carry for bounce games, quick after work games. Elec trolly for medals, open comps or 2 round all day outings, or to longer courses with society.