Hmmm. My deerhounds aren't at all like labs Dylan, not at all.
The biggest difference I'd say is that deerhounds do not have a need to please, not like labs do. When visitors come to the door for example, they may or may not get up to have a look. The younger ones will make a bit of a fuss but the older ones, meh. In fact their indifference can be a little embarrassing

Wise visitors bring biscuits.
That's another thing, a deerhound, upon meeting a person, will not forget them, ever.

Best to make a good first impression.
They're sensitive too, whereas I believe labs are less so.
Deerhounds are elegant, and regal, and have a sense of their size and majesty particularly as they grow into adults. That means that when they're young they'll put up with guff from other dogs, but when they mature, ah, not at all.
They play best with other deerhounds and sighthounds because of the way they play, which is quite rough and involves a lot of very fast-paced running. They don't do "go fetch." True, they can be gentle with other breeds - mine play with a teeny tiny shizoodle and are always kind to her - but lookout when they get going with one another as they're snapping hooligans!
BTW they love the taste of antique wood, so if you have that sort of furniture in your house, well, good luck