I wouldn't go out of my way, but sometimes it's more than a few bucks. When I was in California, my choice was EA for 31 cents or SC for 58 cents. For the 47 kwh I got, that's a $13 difference. Likewise, there were a few places where the choice is between a 150kw CCS or 72 kw urban SC.Charge at home for .14.
If were talking about the difference of a few bucks at the end of the charging session, I wouldn't drive out of my way to goto a EA over a tesla.
Most of the time when I use CCS it's because EA tends to be more conveniently located to what I'm doing, whether it be visiting family/friends, or on a business trip, etc. For example I was visiting my cousin in SF during a business trip, and found there was an EA charger a few blocks from her house. I found that more convenient than having to detour to San Mateo, which is what the nav in my car wanted to do on my drive to San Jose from her house.