Boolean operations failed on shapes with fillets

The attached BRep file contains a complex model with fillets at junction of model parts.

Try to copy and rotate new shape on 90 degrees as it described in Steps to reproduce (variables are defined in the script). BOP failed on such arguments.

A result of bfuse, bcut or bcommon is an empty compound:

Output of bopargcheck:
Draw[300]> bopargcheck _model _copy #F
Made faulty shape: s1be_1
Made faulty shape: s2be_1
Made faulty shape: s1be_2
Made faulty shape: s2be_2
Made faulty shape: s1be_3
Made faulty shape: s2be_3
Made faulty shape: s1be_4
Made faulty shape: s2be_4
Made faulty shape: s1be_5
Made faulty shape: s2be_5
Made faulty shape: s1be_6
Made faulty shape: s2be_6
Made faulty shape: s1be_7
Made faulty shape: s2be_7
Made faulty shape: s1be_8
Made faulty shape: s2be_8
Made faulty shape: s2COnS_1 (MaxDist = 1.[revision removed]-006, MaxPar = 0.586004
84552583931)
Faulties for FIRST shape found : 8
---------------------------------
Shapes are not suppotrted by BOP: NO
Self-Intersections : NO
Check for SI has been aborted : NO
Too small edges : NO
Bad faces : NO
Too close vertices : NO
Too close edges : YES Cases(8) Total shapes(12)
Shapes with Continuity C0 : NO
Invalid Curve on Surface : NO

Faulties for SECOND shape found : 9
---------------------------------
Shapes are not suppotrted by BOP: NO
Self-Intersections : NO
Check for SI has been aborted : NO
Too small edges : NO
Bad faces : NO
Too close vertices : NO
Too close edges : YES Cases(8) Total shapes(14)
Shapes with Continuity C0 : NO
Invalid Curve on Surface : YES Cases(1) Total shapes(2)

8 cases of "Too close edges" all are edges at fillets.