Different Insurance companies have different policies. In my case, I had one speeding ticket on my record which was allowed without a rate increase. A couple years later, I got stopped and ticketed because I couldn't find my insurance slip (non-moving violation). My insurance DOUBLED!!!! This from the same company I had been with for 20 years, never making a claim except for two windshields back in the 80's. I switched to another company and they forgave my "minor" tickets" and my rates were right back to $650/yr. 
I have read that most insurance companies reason that if you are irresponsible enough to misplace your proof of insurance, you are a higher risk for OTHER irresponsible behaviour and thus should pay a higher rate. It's because of this unfair reasoning that I recommend fighting every ticket.
While waiting for the JP to return from a short break, I had the chance to have a candid conversation with the court staff (prosecutor included) about why so many people fight their tickets these days. EVERYONE was in agreement that avoiding the insurance man is the main reason. I told them I would not be there today if it weren't for my previous experience with rate increases. This is why many prosecutors will now drop multiple charges down to ONE charge (with an increased fine) in a plea agreement. The court is happy to get some money, and the offender gets a chance to avoid an insurance increase (most insurance companies forgive ONE violation every three years).
So you get a weak ticket, say... Dirty Lisence Plate. Even if it's your only offence in 3 years, you HAVE to fight it. You don't know what's going to happen 2 years down the road. The second you get that cheezy speeding ticket, BOOOM!... there go your rates!