Compression test can't hurt. And check the plugs for signs of coolant fouling while in there.
I made the mistake of buying a $30 Oreilly water pump and after the third one in 6 months puked coolant out the weep hole, the head gasket finally let go.
It would likely show up as misfires, not a failure to rev. Failure to rev is commonly timing way off, air leak, or way too lean. Sure, wiring or weak spark may do it too.
Not enough info. Tests like compression, timing, current measurements may help. Bunk wiring cam cause weak current to ignition and fuel I ejection components and could cause this.
But when I hear coolant system failure and then problems with power immediately after, I start suspecting HG problems.
It did run after I did the water pump. So I did the waterpump. Then the car was not wanting to run or hold and idle. It needed to be started 10 times and me slowly ease the throttle to get it to get to operating temperature. The second it got to operating temperature is when all the issues of the starting went away. I started it... stopped it. Drove it around the block. There were a few hesitations at first and then once warmed up nothing. Voltage was 14.1 when I was checking all the fuses. i checked them because I think the fan wasnt working and i know that i need to move the fuse around to get it to work at times.
The fuel pump was sounding kind of weird. It was making this odd sort of pressurizing noise. Im going to check the pressure after the regulator I wanted to know how to jump the pump to get it to work. Also.... while the car was running I was trying to listen into the tank to hear if the intank pump is working. I couldnt hear anything. The inline pump is working but not the intank....
Prior to the waterpump going, on cold days the car would hesitate. It would have a hard time accelerating. So there were drivability issues.
So I need to rule out head gasket, fuel pumps, and ignition, after I rule those out I am going to have to look for wiring that was soaked in coolant steam that went everywhere. The alternator got a bunch of coolant on it. I was driving the car for 1km when I noticed a trail of liquid being left on the road and my temp gauge moving up to the red but NEVER entering the red.
I let the car cool down, and then started it... It was running fine. Had the tow truck drop me off home. Once again, was running fine. But after 2 days of that coolant soaking everywhere without a rinse.... it was not running as easy.
Was the fuel pumps on the way out before this? or is this something that has been damaged during the waterpump failure.
So.... when i get home.....
Fuel pressure test
Compression Test
Timing check if i can get running
mechanical timing test.
ALSO..... Its more likely to start if you run the start the starter longer than usual.. Like if the car started before in 2 cycles of the engine rotating, it needs 4 or 8 to start. It runs but the second you touch the gas at all... it will die.