It's hard to say without seeing the machines.
As soon as the rotor starts to rotate, the series field will increase the back EMF, reducing the armature current.
But if it is all over in 0.8 seconds, the pump is probably easy to start.
240 Volts applied to 3.095 Ohms should give about 77.5 Amps.
I expect that the line loss and the drop across the brushes will reduce that current a little.
What would I do?
First a warning:
I have been censured at times for my "Try it and see" approach.
I would compare the two machines;
I would look for construction differences. (Is one machine built more robustly than the other?
I would compare the brush jumpers for length, cross section and general condition.
I would verify the resistances. With two brush machines I would measure the armature resistance with the Ohmmeter probes directly on the commutator bars. With a multi-brush machine I would use jumpers across all of the brushes.
Then I would decide whether to do a test start at reduced voltage or apply full voltage.
If it is possible to run the motor uncoupled, I may do some starts at 1/2 rated voltage and observe the starting current.
I expect that the starting current to be 1/2 of the full voltage starting current but of longer duration.
I would observe the current when the first stage of resistance is cut out. If I judged the current surge to be too high I would adjust time a little longer.
Similarly, if the current surge when the second stage of starting resistance is cut out and the motor goes DOL I would extend the timing.
Or,
I may decide to test at full voltage and follow the same steps to adjust the timing.
I have encountered and been responsible for many DC machines.
All were shunt machines, and all were driven by MG sets.
An anecdote concerning your DC motor starter:
I was working as an instructor teaching apprentice electricians at a vocational school.
During some free time, the head instructor asked me to help unpack some new equipment that had just arrive.
The new equipment was a DC motor starter similar to the one that you have.
The head instructor asked me what I thought of the starter.
"Well, it is a nice piece of equipment, but Pete, does anyone use these anymore?"
"Well, no. It's obsolete.
But I should say that when we ordered it it was not obsolete.
We got a call from the purchasing department asking if we still wanted it.
We thought that there was a chance that some of our students from the very old mills may still see some of these in service and it would be nice for them to see one that they could work with in our shop.
And, if we didn't take it we would not get anything, so we said 'Yes we want it'"
That was 45 years ago.
I realize that a turbine lube oil pump is a special case.
I hope that it is not too late in the purchasing cycle to consider a complete upgrade of the pump, motor and drive.
Others here are better able to advise as to what is the current practice for turbine back-up lube pumps.
Given the possible cost of damages that may result from a turbine lube pump failure, I understand if my "Cowboy" approach is not acceptable.
In your case, for such a critical piece of equipment, I may be making a case to management for an upgrade to the latest technology from a recognized turbine manufacturer.
Costs a little more but worth it.
Bill
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"Why not the best?"
Jimmy Carter