I forgot the default was tol=1.e-4.  My recommendation of 0.01*tol was intended to be a performance-neutral change, but I forgot we had changed the default from 1.e-3 to 1.e-4.

In that case, we can probably just use 0.1*tol instead to preserve the old behavior, rather than update the unit tests.  It's still true that this imparts a minimal inaccuracy compared to the overall accuracy specified by tol, so I think it's fine.