Maybe these headlines are designed to try to get people to follow the restrictions that are still in place, and to go and get their vaccines when invited, so that we can have a better chance to avoid delay to the roadmap for removing all, or at least most, of the restrictions. Large indoor gatherings will probably still require some preventive measures after June 21st.
If some of these variants cause a lot of "breakthrough" cases or if there is a lot of spread in communities where vaccination rates are still lower, then restrictions might have to get tightened. But for the UK, overall vaccination rates at national level are pretty high, and that's probably a worst case scenario.
I continue to feel optimistic when I read the UK data on numbers of confirmed cases. I believe things are getting better, and will probably continue to get better. There will continue to be some COVID deaths, but many fewer than before.
I also believe that the painful measures that were taken probably did save at least a few hundred thousand lives in the UK, and that the more people can continue to stick to such rules as are in force for a few months longer (including requirements to quarantine when returning from foreign holidays), the better our chances to be able to continue to move in the direction of opening up.
On the Indian variants specifically, I have yet to see any well-documented article or study suggesting that they are much more effective than other variants at evading the vaccines. I'd be very interesting to read any such article or study if it exists. My current assumption is, the vaccines probably work about as well against Indian variants as they do against other prevalent variants such as the so-called "Kent" strain, at least in preventing hospitalisation or death.