That is why I ask so many questions, so you can give more details. With what you have told me I would suspect that there is a fuel pump issue. When the engine is turned off there is a residual fuel pressure that has to be maintained so that when you start the engine later there is sufficient fuel pressure until the pump can provide normal pressure. A check valve is used to hold the residual pressure. It sounds like the pressure is bleeding off and that would cause what you are describing. The best course of action would be to connect a fuel pressure gauge to monitor the pressure after sitting a long period or over night. I know you would not have that
device so it would require taking it to a mechanic and left over night.
A second remedy would be to turn the ignition on then back off, then back on several times. When you do that the pump should run briefly and build up the system pressure. You may be able to hear the pump run briefly during that procedure. The third time you turn on the ignition and crank it, it may start right up and idle properly. Try that for the next few days and see whether you have the same problem. If that does not duplicate the condition, then try a few days of just hopping in and cranking and starting the engine, If the symptoms occur then the fuel pump would likely be at fault.
It does happen when the engine is cold like this morning when I first got in or after sitting at work all day, and it doesn't do it every time. This morning I put it in reverse and started backing out and it was like it wanted to go dead and sluggish. It will accelerate fine though. But it was fine after pulling out. A couple of weeks ago it was slow on cranking and I had the battery replaced. But right after that it got lurchy and slow and hesitant when I put it in gear to drive. After the initial sluggishness, it drives just fine. Even in park while cranked, it seems to be idling hard, but not all the time. Let's see, that's all I got really. I know I'm not explaining myself very well.
The battery usually will only affect cranking ability. An engine can run with a dead battery unless it is badly shorted internally. The alternator will provide sufficient power to operate the vehicle.
Likewise, a weak eGo battery will not have enough power to fire the coil in a clearo or
tank but if it is a pass-
through battery and you have the cable connected, all will work properly. Even if the battery is dead or weak. I figure saying this will be easier to relate to. It is the same basic idea.
I'm not sure if the battery and sluggishness was just a coincidence...or related somehow.