The vaccine doesn't prevent the virus getting into your nose and throat. It works by preparing your body to fight the virus fast and furious as soon as you encounter it. Before your defences overcome it you will have viable virus in your nose/throat and for a while after you will have viral particles that are detectable but not viable in your nose and/or throat.
If you are taken into hospital with a fatal condition and, before your demise and unsurprisingly as you will be now be in close contact with a lot of people, you pick up some Covid RNA in your throat, you will test positive. If you then die of your original condition you will be counted in the Covid deaths figures.
Around 1400 people die every day in the UK. Most of them older and many will have gone into hospital before they die. So there will be a good number of 'deaths in the vaccinated.'
And, of course, the vaccine will not protect absolutely everyone - some people will not have enough immunity to fight the virus despite vaccination - so there will be a certain number who do, indeed, succomb to Covid despite vaccination.