This could be fuel related but my question would be, how did they "notice" that your injectors were dirty?
The service that they are recommending is not a bad idea but you cannot look at an injector and tell that it is dirty. This is just a service that is recommended based on time and mileage and it just sounds like they put something in your head that you need and are noticing other issues that could be related.
While this could be a fuel issue, I doubt the injector cleaning they are going to do will correct this. I am not suggesting to not do it but don't go into it expecting that this will fix it. It could fix this issue but it is doubtful.
I would recommend starting with checking fuel pressure when this happens so that means we need to hook at gauge up and tape it to the windshield so that you can see it when this happens.
https://www.2carpros.com/articles/how-to-check-fuel-system-pressure-and-regulator
Until we get a little more info, there could be other things related to this so here is a guide that talks about this sort of issue:
https://www.2carpros.com/articles/engine-hesitates
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Friday, December 11th, 2020 AT 10:25 AM