[Brecher 2021] presents a new, cost-efficient, machine-integrated measuring method for thermo-elastic errors of three-axis milling machines. The setup consists of a spindle mounted position-sensitive diode and a thermo-stable laser frame on the table. The initial paper contained a rough estimation of the measurement uncertainty and the uncertainty of the measureable errors. This work presents a detailed analysis of the setup’s measurement uncertainty in accordance with GUM 100. In addition the resulting uncertainties for the 13 measureable errors of the kinematic are updated based on the new results by means of a Monte Carlo simulation.