You're getting conflicting advice because there isn't a one size fits all, correct approach. Most people who do both go easier with weights during the season and then switch for the winter.
There's a lot of controversy over whether lifting helps road riding. The stuff you do in the gym probably won't have much effect on your FTP. It's great for you in other ways though. It'll also help you in the event of a crash.
Be careful with the leg press. People sometimes go too low to get the full range of motion, causing the back to round and it's not great for your spine. Especially if you doesn't have back problems.