If you remove one transformer from an existing three transformer delta bank, you have a an open delta bank. Rotation stays the same. Capacity drops to about 57.7%. That is, a hypothetical 100 KVA bank,(Three 33 KVA transformers) will have a capacity of about 59 KVA on open Delta. You can connect single phase 240 volt loads to any two phases, but it is possible to overload the second transformer. Remember it may be a 15 Kva transformer.
Full load current; 15000KVA / 240 Volts = 62.5 Amps. There will be enough available fault current to assure tripping of the breakers on short circuits. However, the only over load protection for the transformer may be the primary fuses on the transformer. If you connect all your 240 Volt single phase loads on "A" "C" and use "B" for three phase loads only you should not have a problem. Typically, the panel will have every third breaker missing. (Except for three pole breakers.
Standard practice is to use 4 wires and ground the neutral of the 120/240 winding. The corner ground on a three wire sytem is new to me, but I wouldn't remove it. I usually recommend that Delta systems be reconnected Star, and have done so several times. Here though, I understand that only three phase wires are brought in. Once you undertake to change an existing system you are responsible for complying with current codes. Without inspecting the site to see the scope of work required to bring the grounding of the neutral up to current codes, I wouldn't recommend any changes. It's worked for a long time and it's grounded.
If you have unexplained transformer overheating, and or a high transformer burnout rate, then bite the bullet and change the connections to star and bring the grounding up to code. Otherwise, say "That's interesting", and forget it.
Note: In North America, conventional three phase is 120/208 Volts.
In the open Delta, the voltages are 120-240 single phase and 240V three phase.