Slavar, I’m not sure what you mean by “as I understand because inductive load”. The transformer connection doesn’t care whether the load is inductive, capacitive, resistive or non-linear. The phase shift across the primary/secondary only has to do with the way that the windings of the transformer are connected.
There is nothing ‘special’ about any of the configurations. A Dy1 transformer can (depending upon construction) be fairly easily converted into a Dy11 transformer by changing the wiring at the primary of the transformer.
As to why anyone would construct a Yd5/Dy5 or Yd7/Dy7 I have no real idea. I have never seen any of these in the field in Australia, New Zealand or South Pacific. The only ‘hand waving’ explanation I can think of is that some manufacturers found it easier and less expensive to wire their transformers in this way. It makes no practical difference for the loads at the secondary as the voltages are still in a positive sequence.
As for their use in rectifiers, I cannot see this. For a twelve pulse rectifier a 30 degree phase shift is needed between one six pulse bridge and the other. This is provided satisfactorily by a Dy1 or Dy11. OEMs quite often design a twelve pulse rectifier using a transformer with a dual secondary and a 30 degree phase shift between the secondaries, and it is quite common practice for rectifiers where the DC has to be isolated from ground. The ‘normal’ practice is to use a Dd0y1 or Dd0y11 but there is nothing stopping the design being a Dd6y5 or Dd6y7; but I can think of no practical reason why this would be done.