Yes, TR has good structured programs to make you faster. I only have a little experience of Zwift racing during lockdown, but I didn’t do any specific training for them - probably should have done!
There are a couple of existing threads about training for Zwift racing that may help:
A higher FTP will always help, but most Zwift races seem to be characterised by a mad charge at the start - so you need to be ready to go very hard for several minutes to hang on to the right groups. Most TR plans will include sessions to train you for those VO2max efforts that you need to hang onto other riders up the hills.