Yes, being conservative when treating a low is the generally accepted “best practice”. Being patient, waiting for your BG to come up, and all of that.
But with that being said, I want to add that taking more than I actually need seems to work faster.
The “more than I need” would eventually lead to high BG, so there are times when I take carbs AND insulin at the same time when I am low. 
Not always, just sometimes when I need my BG back up quickly, etc.
Don’t fault yourself for this. It’s actually a survival instinct. Your body knows you need food. It’s just a natural thing, like breathing.
Here are a couple of fun references for this sort of thing. 
(Sorry about the thread hijack, @John58!)