Where I live it's more how Ken describes it. Home Depot is further though it's right next to the freeway it is between two off ramps and two freeways and has very poor access. One two lane road in and out, and pretty congested. The store looks messy, not well-organized and merchandise stacked the aisles. Last time I asked them they said they didn't didn't have a veteran discount.
The only thing they have that Lowe's doesn't is equipment rental.
Is the wearing Marine Corps baseball cap and even if I forget to ask for it the people at Lowe's ask if I am a veteran. They act like they genuinely want the veteran community's business. Lowe's is usually where we go for appliances, primarily because they have decent prices to begin with and with the discounts we save quite a bit when we replace appliances.
Most of the help at Lowe's is knowledgeable and if they aren't they will get someone who is.
The store that has the best veterans discount that I have encountered is the Benchmade store, at the Benchmade factory. They give veterans a 30% discount, if you can document your veteran status. My VA card was proof enough for them. You can even get the veterans discount their online store!