What I observed from the measurements done during operation is that the 'Root Dispersion' values reported by the google server are quite high for a stratum-1 server.
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Date (UTC) Time IP Address L St 123 567 ABCD LP RP Score Offset Peer del. Peer disp. Root del. Root disp.
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2017-09-04 08:42:44 216.239.35.8 N 1 111 111 1111 2 2 1.00 -3.736e-03 4.889e-02 3.660e-06 0.000e+00 9.003e-04
2017-09-04 08:42:48 216.239.35.8 N 1 111 111 1111 2 2 1.00 -3.671e-03 4.764e-02 3.541e-06 0.000e+00 2.060e-03
2017-09-04 08:42:52 216.239.35.8 N 1 111 111 1111 2 2 1.00 -1.358e-03 4.405e-02 3.330e-06 0.000e+00 1.297e-03
2017-09-04 08:42:56 216.239.35.8 N 1 111 111 1111 2 2 1.00 -3.006e-03 4.884e-02 3.281e-06 0.000e+00 2.396e-03
2017-09-04 08:43:00 216.239.35.8 N 1 111 111 1111 2 2 1.00 -3.656e-03 4.747e-02 3.186e-06 0.000e+00 8.087e-04
2017-09-04 08:43:04 216.239.35.8 N 1 111 111 1111 2 2 1.00 -1.691e-03 4.356e-02 3.031e-06 0.000e+00 2.426e-03
2017-09-04 08:43:09 216.239.35.8 N 1 111 111 1111 2 2 1.00 -3.557e-03 4.767e-02 2.950e-06 0.000e+00 8.545e-04
2017-09-04 08:43:13 216.239.35.8 N 1 111 111 1111 2 2 1.00 -1.227e-03 4.586e-02 2.882e-06 0.000e+00 7.172e-04
2017-09-04 08:43:17 216.239.35.8 N 1 111 111 1111 2 2 1.00 -3.928e-03 4.842e-02 2.881e-06 0.000e+00 7.782e-04
2017-09-04 08:43:21 216.239.35.8 N 1 111 111 1111 2 2 1.00 -2.017e-03 4.305e-02 2.761e-06 0.000e+00 8.545e-04
2017-09-04 08:43:25 216.239.35.8 N 1 111 111 1111 2 2 1.00 -1.560e-03 4.491e-02 2.702e-06 0.000e+00 3.464e-03
2017-09-04 08:43:29 216.239.35.8 N 1 111 111 1111 2 2 1.00 -8.420e-04 4.343e-02 2.632e-06 0.000e+00 9.918e-04
2017-09-04 08:43:33 216.239.35.8 N 1 111 111 1111 2 2 1.00 -4.080e-04 4.600e-02 2.634e-06 0.000e+00 8.392e-04
2017-09-04 08:43:37 216.239.35.8 N 1 111 111 1111 2 2 1.00 -1.675e-03 4.368e-02 2.585e-06 0.000e+00 9.613e-04
2017-09-04 08:43:41 216.239.35.8 N 1 111 111 1111 2 2 1.00 -8.720e-04 4.529e-02 2.553e-06 0.000e+00 8.545e-04
2017-09-04 08:43:46 216.239.35.8 N 1 111 111 1111 2 2 1.00 -3.956e-03 4.842e-02 2.569e-06 0.000e+00 6.866e-04
2017-09-04 08:43:50 216.239.35.8 N 1 111 111 1111 2 2 1.00 -3.614e-03 4.920e-02 2.581e-06 0.000e+00 3.922e-03
2017-09-04 08:43:54 216.239.35.8 N 1 111 111 1111 2 2 1.00 -3.631e-03 4.907e-02 2.575e-06 0.000e+00 2.625e-03
2017-09-04 08:43:58 216.239.35.8 N 1 111 111 1111 2 2 1.00 -1.990e-03 4.439e-02 2.510e-06 0.000e+00 9.155e-04
Never mind the high offset recorded as another local server was chosen to be the current time source, my question refers only to the 'root dispersion' reporter by the google server.
Even if one is on the same LAN with such a server and suppose the offset would be zero and 'peer delay' would be much lower, the accuracy to UTC true time on the client would be ruined by a 'root dispersion' value that high.