Small buffer of a polygon returns an empty geometry

I'm working with a precision model with a fixed scale of 10000. When doing a buffer operation of +-0.001 sometimes it returns an empty geometry when it isn't the correct result.

I have replicated a couple of them in the JTS Test Builder from the 1.19.0 release, setting it to the precision model I use in code.

"POLYGON ((-1.1261 35.3205, 77.1866 37.8173, 78.3127 2.4968, 0 0, -1.1261 35.3205))"
Doing the default buffer of -0.001 returns an empty geometry.

"POLYGON ((28.3065 22.0679, 33.2298 29.772, 49.9274 19.1013, 45.0042 11.3973, 28.3065 22.0679))"
Doing a buffer of 0.001 with the bevel join returns an empty geometry

I have not had this issue using values of over 0.01 in absolute value or using a finer grid size.

Reproduce the issue in the JTS Test Builder from the 1.19.0 release using a fixed precision scale of 10000 and the two polygons in the report. Test buffers of ±0.001, including the bevel join case, and compare them with larger values or a finer grid; done means these valid operations no longer incorrectly return empty geometries.