If the water pump did not come on it means that either the city supply is equal to what the water pump outputs or it's greater
I had low pressure problems with city water in my NEW MH, but you see I was using the old regulator which I've had for oh, 20 odd years, and as it turns out it's was a bit too odd, I don't think that regulator was ever set to 40 psi. 20 perhaps, but never 40
Found the new regulator (I purchased it about the same time I got the new MH) Wed and replaced the old one.
Now, the new regulator (both of them are the same Marshall Brass pre-set uint) gives me the same water flow as the on board pump.
Since you have 40 psi, I'm thinking your problem is not low pressure, I'm thinking you have either an obstruction somewhere or a kink in a line or a pinched line to the toilet. You need to do a complete inspection of the lines leading to the toilet from somewhere where water pressure is proper.
One thing you might try is this....
Disconnect (DC for short) the line from the toilet at the valve (turn off water first) re-route to a bucket, turn water back on and "See how it flows" if you get a good flow... turn off, Reconnect and check downstream of the valve. or the valve it self.
If you get a restricted flow (Which I suspect you will get) Reconnect and move "upstream" to any joint, or coupling or union or "T" or manafold fitting, Same procedure. Keep this up till you get good flow... the problem is between teh last two spots