Both of these tickets, whether a speeding ticket for 10 mph over in a school zone or unauthorized use of lane, are considered a 'minor' violation and would be rated the same typically though insurance companies rating systems do vary and thus how much each would raise your premiums could also vary.
If it was your first ticket, you might not see any change in your rates. Some states have laws governing when and why auto insurers can change policyholders' premiums; often, insurers are not allowed to raise your rates after just one speeding ticket or other citation. Different companies have different practices when it comes to raising premiums. Some companies will consider the severity of your violation and raise your rates accordingly; others will raise rates a specific amount per violation.
You can get a car insurance quote to see how much, if at all, either ticket could affect the rate you pay.