Little consolation to you now, but Gates have a terrible rep in the Volvo world, enough I'd never use them on any car.
Of more help is the law. The consumer rights act is own your side, and the passing of 365 days is an irrelevance but one the garage will try and hide behind.
- the service must be carried out with reasonable care and skill. A trader must carry out the service to the same or similar standard to that which is considered acceptable within the vehicle repair industry.
This includes the parts. That the part was faulty and thus unfit for purpose (the purpose here being driving the camshafts until the next replacement period advised by the manufafturer) is entirely down to the garage. A belt intended to last
x years or
y miles failing in such a time is not
acceptable within the vehicle repair industry.
if they wont play ball I'd take them down the small claims route for the cost of the repair, less a small amount for the year of use you had before the item failed. Stick to your guns and they'll fold because a CCJ will seriously impede their ability to do business.
If they did stick it out for court it's unlikely they could argue that the belt they fitted was fit for the purpose desdribed above, and they are liable for consequential loss or damage (that's why they have insurance.) Charge a tenner for every phone call, email and letter you send while attempting to resolve this and you'll probably get that too - that less than minimum wage and each time I've been to court (twice now and won each time, a third caved in and paid the day before court) I've presented a schedule of all such contact I've made and the court awarded me the cash for my time.
Don't let it go would be my advice. Give them every opportunity to resolve it at their expense first and document everything.
At a technical level an endoscope will reveal any piston-valve contact without having to remove the head. They probably have on at least one pot, hence the broken rocker.
In addition, the cams are a massive forging (then carburized, quenched and tempered after machining) and the lobe will not have rotated. However, it's not impossible the timing pulley might have rotated on the shaft, although that's not terrible likely. The good news is these rockers are designed to be sacrificial to minimise the risk of damage elsewhere, so there's every chance a new rocker and timing it all up again may be all that is required. Fingers crossed!
Best of luck.