I hate weight lifting, but it has without doubt helped me over the years of racing.
I have not seen or experienced any increase in FTP, if measured in w/kg, probably even a slight reduction as lifting adds a little weight. Where I believe it helps is better endurance and a big improvement in racing performance due to added strength. FTP is great for a time trial, but in a bike race, especially a Crit, it is those short bursts of speed that will get you into a break, or let you hang in the bunch, or finally win the sprint.