As others post, the transformer capacity is marginal for the pump size if used with a VFD, and almost certainly to small without.
An open delta supply is not ideal for motors that are large in relation to the service capacity/transformer size.
OFF LOAD the voltage between the 3 phases should be equal.
However when a load is applied the voltage will drop, and NOT EQUALLY on the three phases.
The voltage drop on the "fake" phase will be greater than on the other two, remembering that the current passes through two transformer windings, with voltage drop in each.
Most induction motors will tolerate a supply of from 90% up to 110% of the nominal or nameplate rating. A much closer tolerance is however required as to voltage difference between phases.
Some motors will only tolerate 1% or 2% difference in voltage between phases.
That is, a supply of 90% of nominal, but the same on each phase, is OK, but A supply of 90% nominal on one phase and 96% of nominal on another phase is not acceptable.
Presuming that the motor will run, I would suggest measuring the on load voltage of each phase and confirming that they are not only within tolerance, but also within 2% of each other.
Also measure the on load current in each phase and compare with the nameplate rating.
I suspect that you will find find either low voltage in general, or an excessive difference between phases, or both.
In case of a deep well pump you can not readily measure the voltage at the motor, measure elswhere and calculate/estimate the actual voltage at the motor from the length and size of the cable.