Problem with Integrate with Piecewise and PrincipalValue

I think this is a bug, because if we transform the Piecewise function into a combination of UnitStep (which is mathematically equivalent to the original function of course), Integrate integrates without difficulty:

um = -(2/3) - 2/(3 (-1 + u)) - (2 u)/3 + u^2/3;
up = -(10/3) - 2/(3 (-1 + u)) + (8 u)/3 - u^2/3;
sv = Simplify`PWToUnitStep@Piecewise[{{um, u <= 1}, {up, u > 1}}];
Integrate[sv, {u, 0, 2}, PrincipalValue -> True]
(* -1 *)

Tested on v9.0.1 and v11.2.

Another way. Integrate from both sides to small r near the singularity and let r go to zero.

um = -(2/3) - 2/(3 (-1 + u)) - (2 u)/3 + u^2/3;
up = -(10/3) - 2/(3 (-1 + u)) + (8 u)/3 - u^2/3;
sv[u_] = Piecewise[{{um, u <= 1}, {up, u > 1}}];

int = Integrate[sv[u], {u, 0, 1 - r}, Assumptions -> 0 < r < 1] + 
      Integrate[sv[u], {u, 1 + r, 2}, Assumptions -> 0 < r < 1]

(*   1/9 (-8 + 9 r - r^3 - 6 Log[r]) + 
     1/9 (-1 + 9 r - 9 r^2 + r^3 + 6 Log[r])   *)

Limit[int, r -> 0, Direction -> -1]

(*   -1   *)