From the sounds of it, poor wireless where this V6 is located, is the likely cause - but it won't just affect ITV & BBC apps, but all internet based functions on the V6. What your TV does is "interesting", but irrelevant as it's the V6 we're troubleshooting. Do you have issues with OnDemand programmes from broadcasters that don't use their own apps? (in other words, not ITV or BBC)? Or any other streaming services?
Follow Home > Help & Settings > Settings > Network, and check the wireless signal strength in the top-right. What is it?
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