Let's look at the factors.
Case 1: When you display the post you display the comments. That means you retrieve them all and can count them as you display them. In that case, no.
Case 2: When you display the post you do not display the comments, but a link that says "15 comments." In that case there is an equation.
Materializing the count:
Cost of one comment save = 1 Insert + 1 Update
Cost of one post display = 1 Read
Average Number of blog displays = D
Average Number of Comments = C
So, for what ratio of Displays D vs. Comments C is it true that:
C * (Insert + Update) < D * (Read)
Since it is usually true that D >> C, I would suggest that the cost of that extra update vanishes.
This may not be so important for a blog, but it is a crucial formula to know when you have many tables and need to make these decisions.