I use both of them, but only for very common and simple stuff, like fertilizer, small electrical items, an occasional small tool or drill bit.
Also, it is difficult to say which is worse ( we really can't use the term "better")
because it depends sooooo much on the individual store. Eg the Home Depot at my house is useless, it's in a primarily residential neighborhood, upscale mood.
The Home Depot near my office, where the majority of real estate is commercial, works much better for me. Full of contractors, dirty, but a much better selection. They are 25 miles apart. I ordered blinds for my former office from them a few years back, which was a ridiculous experience, and they were not cheap.
I don't think generalizing works well in comparing the two chain stores, though.
I purchased an electric lawn mower and a water heater ( home) from Lowe's.
Both had problems, both times customer service was a nightmare.
I ended up online, explaining my experiences, and now they sent me a new electric lawnmower ( 18month later, mind you),and are replacing the water heater for a different model with better capacity for free.
Had I gone to my local plumbing shop, I had gotten a better price, and a much better quality water heater for my $695.00 I spent at Lowe's, installation included. Never mind the lawnmover, I hired a gardener for the lawnwork since then anyways.
Our powder room remodel revealed that a local high end plumbing fixture house had a better price and more colors on the exact same pedestal sink and faucet than Lowe's.
I am not excited about either of them, but they are both convenient for the quick stuff. I have come to believe that everything over a few hundred dollars, however, is worth shopping for in the smaller specialty places. Like lighting, plumbing, appliances etc.
I have found no equal to my local RV parts house, and InlandRV when it comes to Airstream parts, though.