From OP:

The new studies, however, also found that the risk of bleeding in aspirin users diminished over time, and that the risk of death from brain bleeds was actually lower in the aspirin users than in the comparison group.

Wonder how they controlled for survivorship.

In the United States, two major studies of low-dose aspirin to prevent cancer did not find reductions in cancer with aspirin use. Those findings were excluded from analysis by the Oxford researchers because they involved use of aspirin every other day, rather than daily use.

In the first study, the dose was 100mg, so average 50mg a day, and in the second, 325mg for average 162mg