Dr. Dave has debunked an arm swoop for BHE, thoroughly.
However, there is "pro BHE" also, which I use for some strokes, and which pro friends use, too:
1) Cue and practice stroke for center CB
2) On the final forward stroke only, pronate or supinate the wrist a tiny amount to add english (for example, feel as if you are stroking through the center of a ghost cue ball behind the CB, then deviate the motion a tiny increment as you finish the stroke)
3) This creates a different angle of approach than moving both hands parallel to impart spin (or pivoting at address to impart spin using a straight stroke diagonally aimed across the shot line aka the classic english stroke)
No, you don't get more english with "pro BHE", that would be a physical impossibility. Yet the different angle of approach changes the CB's initial direction and amount of spin than other english strokes as described in #3 above, so results are better, including less adjustment of aim needed on the OB to pocket the ball.