Had the same experience when I renewed with them this year, although actually not sure if it went up or if I just decided I hadn't tried the comparison sites for a few years. Interestingly a couple of others (Admiral and Elephant I think) were cheaper for me, but Hastings more or less matched it when I called up so I stayed.
Otherwise, luckily all I've had them do is take money off every year, they've done that no problem.
My fiancé has had to claim on a fault accident however and they handled it swiftly, got her booked in at a local body shop and gave a courtesy car pretty much immediately. Don't think her premiums went up much after.
Best time to call is during the day during the week, on the few times I've done that I got through pretty much immediately. Friendly english call centre too.