Software engineers, care much about end-to-end integration?

At work, other software engineers seem to not pay much attention other components / microservices and let testers pick up the defects. Surely company’s policy can improve, but it’s very annoying to see no one other engineers are interested to improve the whole system.

There are some automated integration tests, but they don’t go fully end to end, so manual testing are needed.

So i have seen simple common scenarios that should work the first time around requires two or three tries.