If they need flystrike prevention, that would be an issue. We can't use Clik or anything like it. (We try to follow organic rules as far as possible, although we aren't certified.) We use Molecto (local agri merchant version of Crovect) on any at risk lambs only if we feel it's a particularly high risk time, but for the most part between breeding, management, and vigilance, we do not use chemicals for flies at all.
The ones which have predominantly Shetland and Manx blood rarely have any problems.
The sheep with some Wensleydale in 'em, and a couple of lines which have gorgeous fleece and some Blue-faced Leicester in the mix do have the occasional incident, but only usually if we are tardy with dagging.
Zwartbles and descendents are either 100% immune or get struck very badly very quickly; we cull lines which get struck for no reason and are about to lose the last of our Zwartbles blood, sadly. (Not for that reason, this one is going for terrible mothering, despite her own mum having been an excellent sheep in every respect.)
We cull anyone who has flystrike for no good reason, and if we get two such incidents in a line will be unlikely to keep any others from that line for breeding either. The fleece from the ones with Wensleydale in the mix is so sumptuous that we may bend that rule a leeetle bit for them...
We've only had one of the Shetland type badly struck for no apparent reason, she was 1/8 BFL. She survived with good nursing, and went off fat, and none of her brothers or sisters has had a problem since (so far...

) so we keep breeding from the mother and have kept a later sister for breeding.