Nutterly-uts - Well. . . . our gun dogs, would show some interest in the scent, might have a little explore, may flush it. . . . but more than likely wouldn't push it enough, and would lose interest, allowing the cat to make good its escape / evasion.
However. . . . in my experience, even proper mounted packs of hounds, will riot on new and exciting scents, and things like cat scent, tend to drive them nuts. It's as much a case as breaking them to scents, as it is training them to it. So a fresh scent of a beast they don't know is going to most likely drive them nuts.
And as for the kind of packs I hunt with. . . . . . if its there, they will hunt it, from a rat to a wild boar. . . . and pretty much without exception, they hate cats. Ive treed enough feral cats to know how it goes. . . . you locate all of the dogs at the base of a tree going nuts at the feral spitting and hissing from the branches. I imagine it'd be very similar but on a larger scale lol.
For the record, our own particular mooching pack, when at its largest would consist of a few terriers (russels, patter dales, lake lands and cross breeds), some small hound types, and several lurchers. Not much can avoid them if they want to find it.