We are trying to stick with the Testiny for the tests management and replace existing tooling if possible, and to be able to analyze the stability of tests we need to be able to compare the results between different runs.
Hi and welcome to the Testiny forum!
We are actively working on a Automation test cases feature that will allow you to review results for automation test cases over time, easily identify flaky tests, and provide an overview of errors happening in your tests.
So stay tuned 
Best regards,
Alex