From experience shipping releases, “bigger updates” and “more tested” are more or less antithetical. The testing surface area tends to grow exponentially with the amount of features you ship with a given release, to the point I tend to see small, regular releases, as a better sign of stability.
If your software is following semver, not necessarily. It only requires a major version bump if a change is breaking backwards compatibility. You can have very big minor releases and tiny major releases.
Again, by experience, this is assuming a lot.