Per the "scanning" comment on TP2 / TP200. The TP2 lobing is due primarily to stylus bending which is a result of probe approach direction dependent forces on the stylus. This results from the tripod structure inside the TP2.

Details of this issue can be found at:
“Error Compensation for CMM Touch Trigger Probes” W.T. Estler, S.D Phillips, B.R. Borchardt, T. Hopp, M.S. Levenson., K.R Eberhardt, M. McClain, Y. Shen, and X. Zhang, Precision Engineering, 19, 85-97, (1996).

and

“Practical Aspects of Touch Trigger Probe Error Compensation” W.T. Estler, S.D Phillips, B.R. Borchardt, T. Hopp, M.S Levenson., K.R Eberhardt, M. McClain, Y. Shen, and X. Zhang Precision Engineering, 21, 1-17, (1997).

Some suggesting to improve TP2 performance can be found at:

“Improving Kinematic Touch Trigger Probe Performance”, S.D Phillips, and W.T. Estler, Quality Magazine, 72-74, April (1999).

While the TP200 does have a tripod structure inside of it, the measurement mode uses strain gauges that are much more sensitive to forces and hence result in much less stylus bending and thus less lobing.

Best Regards,
Steve Phillips
NIST