Weird Problem! Need to turn steering wheel to crank start the car

I have a 1997 Toyota Corolla

It started to have starting problem a few weeks ago.
If I didn’t drive my car for 1 or 2, the car won’t start. The only way to start the car is to turn the steering wheel from side to side (about 1/4 a circle, from 12 o’clock to 9 and then back), and turn the key at the same time.

I have new engine oil, new oil filter, and oil level is good.
Battery should be ok, only a few years old and I did refill the water.

Steering oil should be ok, I don’t know about steering pump condition. It’s the original pump, but is it the root of the problem?

I check the coolant, it’s ok, too.

Note, I’m not talking about steering column lock. This after I unlock the car and trying to crank the engine.