I guess it could also be the IAC causing this.
Its on the top side of the TB(4wire plug).
You can remove it with a torx bit and clean the carbon off,
just dont push or turn the cone tip(pintle).
Also clean to port it goes into and down in the intake area.
That should help with starting
Here is a pic of that
IAC location, the yello arrow.
If you need a testing procedure I can post that.