Loses power even with my foot all the way down on accelerator eventually shutting off

Question: Would battery issue show up on a diagnostic test? And would that be the first thing you would consider when repairing? My car would lose power even with my foot all the way down on accelerator eventually cutting off. I took car into shop it was put on machine, they replaced the Throttle Body paid $1,300.00 got it back car still doing the same thing. Took it back they replaced a wire paid another $400.00, got car did the same thing. Took it back 3rd time taking the car back within less than 3 weeks. This time I was told it was the hybrid battery cost for that would be over $13,000.00. So I feel like shop was negligent and did unnecessary repairs, had I know the battery was the issue I would not have had work done on it because the cost is more than the car is worth.