I've got one. He's a rescue (came to me aged 1) and I have no evidence of abuse, other than a vibrating anti bark collar, but it's fairly clear his needs weren't always met. He's been with me 5 years now.
As he's a rescue (and because he's an individual) I cannot fully separate out what's part of him as a breed and what's a result of his early experiences.
In terms of him being a family dog - I could see him living successfully with older dog savvy children who knew when to leave him alone, and parents whose first response to hearing the dog has snapped is to ask the child what they were doing to make the dog feel the need to snap old school dog ownership like I grew up with.
Dachshunds are inherently a bit nervous and barky. Jack Russells are inherently a bit snappy and barky. Both are opinionated and don't suffer fools gladly. The result - in mine at least - is a dog that gets worried about things easily, and won't hesitate to bark / snarl / snap to make the worrying thing go away (though thankfully he's learned some de-escalation techniques with other dogs over time). He's reactive towards some odd triggers. Taking him to a pub or café and sitting down is beyond what he can manage (nipping in for a takeaway latte is fine though).
They have plenty of stamina, and in the early years I'd walk him for 2-3 hours per day, mostly off lead, and if I didn't get at least 2 hours in I'd live to regret it. Nowadays we can get away with much less but he'll still go all day if you let him.
As is common with Dachshunds, he's aloof with strangers and has a small social circle of humans - basically me, DP, DF, and his dog walker. He quite likes other dogs though.
Would he be an easy family dog who slots in anywhere? Absolutely not. If you had had dogs as a family before, understood (or were willing to go on a crash course in) training and behaviour, the kids were dog savvy, you were relaxed about a dog that will snap on occasion, but you wanted a dog with stamina, personality, intelligence and opinions by the bucketload then you'd be in about the right place.