This specific disorder is not the same as DVT/ PE and common clotting disorders which the vaccines actually reduce the incidence of.
It is a very rare thing being called VIPIT or CSVT (or at least CVST is a symptom of it). It's a symptom of blood clotting plus low platelets.
It was previously known to occur rarely with heparin injections
It is so rare (estimated 2-15 cases per million natural occurrence) that it's very hard to say if the vaccine did cause any extra cases or not. It also is not at all clear what the risk factors would be. The association with younger women was found in the German cases but the first 5 U.K. cases were in men.
This is from a BBC article
Covid-19: Seven UK blood clot deaths after AstraZeneca vaccine www.bbc.co.uk/news/health-56620646
'If the vaccine is the cause of this rare clotting disorder then the frequency is 1 in 2.5 million (NB this is on the U.K. figures. The worst possible case scenario on the German figures is 1 in 100,000)
If 2.5 million 60-year-old people caught coronavirus then around 50,000 would die. If they were all 40-year-olds then around 2,500 would die.
So even if you are in your 40s then you have thousands of times more chance of dying from COVID than from the vaccine.
The two risks are not even vaguely comparable. COVID is much higher risk. It's not some kind of touch and go weigh up. The vaccine is much much safer than getting Covid
The German scientist who found this possible link and called it VIPIT is still urging people to have the vaccine and saying he would not want people to be dissuaded by his research
So far no-one has suggested this very rare issue to be associated with the Pfizer or Moderna vaccine so you could indeed argue those are safer but who is to say that tomorrow they won't find some rare risk to do with those next week.
The U.K. does not have enough of these vaccines to offer everyone those.
There are risks in all of life
Nothing at all is ever 100% safe
But a 1 in a million risk or even a 1 in 100,000 risk is a very very small one. It is less than the risk of being struck by lightning.
If you ever had a heparin injection eg post operatively you have already accepted a much higher risk of this rare condition than from the vaccine.
However I do support everyone's right to choose and make their own decision.