I see that you've correctly found that 192.0.2.0/24 is reserved for testing, and won't appear on the Internet.
However if your local area network relies on a default route to get to the rest of the Internet then you'll still be sending this traffic out of your network towards your ISP.
Best case is that your ISP will send back ICMP_NET_UNREACHABLE
errors and your applications will notice those and act accordingly. Worst case is that the traffic is completely blackholed, at which point your applications will sit around until the connections timeout.
The correct strategy for avoiding this depends on your OS and local network configuration. On a Linux system I'd just add a route for that /24 with "reject" as a target.