I agree with amymay that larger, dare I say it, 'proper' dogs are more likely to be ignored. A lab may pull your arms out trying to join in, but is much more likely to be ignored by hounds. I definitely wouldn't like to get caught out with a Bichon or a Yorkie.
ETA By 'proper' dog I mean as recognised by the hounds, I'm not meaning to be rude about toy breeds.
We nearly did get caught up in the hunt, who had apparently just killed a fox in front of the antis, last week. Missed them by less than an hour on a quiet lane on one of our regular dog walks from home. Plus all of the police etc who got called in.
ETA It's clear from local's comments that folk get pretty scared at the thought of being caught up in a hunt. There were a few dog walkers who were frightened yesterday by the close proximity of another neighbouring pack in cry.