Large force difference when set different symemtry_prec

[pxlxingliang]

Describe the bug

When I use default symmetry_prec (that is 1e-6) and symmetry_prec 1e-5, the forces are different:
symmetry_prec=1e-6:

------------------------------------------------------------------------------------------
 TOTAL-FORCE (eV/Angstrom)
------------------------------------------------------------------------------------------
                       Mo1         0.0000000000         0.0000000000         0.0000000000
                       Mo2         0.0000000000         2.1897877709         0.0000000000
                        S1         0.0000000000        -0.4863101120         0.0541911859
                        S2         0.0000000000        -0.4863101120        -0.0541911859
                        S3         0.0000000000         0.0000000000         0.0541911859
                        S4         0.0000000000         0.0000000000        -0.0541911859
------------------------------------------------------------------------------------------

symmetry_prec=1e-5

------------------------------------------------------------------------------------------
 TOTAL-FORCE (eV/Angstrom)
------------------------------------------------------------------------------------------
                       Mo1         0.0000000000         0.0000000000         0.0000000000
                       Mo2         0.0000000000         0.0000000000         0.0000000000
                        S1         0.0000000000         0.0000000000         0.0530687862
                        S2         0.0000000000         0.0000000000        -0.0530687862
                        S3         0.0000000000         0.0000000000         0.0530687862
                        S4         0.0000000000         0.0000000000        -0.0530687862
------------------------------------------------------------------------------------------

The force of QE:

     atom    1 type  1   force =     0.00000000   -0.00000000   -0.00000000
     atom    2 type  1   force =     0.00000000    0.00000000    0.00000000
     atom    3 type  2   force =     0.00000000    0.00000000    0.00195641
     atom    4 type  2   force =    -0.00000000    0.00000000   -0.00195641
     atom    5 type  2   force =     0.00000000   -0.00000000    0.00195641
     atom    6 type  2   force =    -0.00000000   -0.00000000   -0.00195641

a (3).zip

Expected behavior

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To Reproduce

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Environment

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Additional Context

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[pxlxingliang]

The example is from #4171