I think PD can learn a lot from CM's F1 series. There are two things F1 2O13 does very well:
Immersion and Competition
You're not just going from menu to menu in these races, but rather, you're learning each track in Practice sessions, racing the clock for Qualifiers and then battling it out on raceday. All while communicating with your pit crew, manifesting pit strategies and adapting driving styles based on circumstances. And when you win, it's not just a series of stars that fill your screen, but a full celebration by the crowd, acknowledgement from news reports and praising from team principles. That's the type of immersion GT6 lacks.
F1 2013 is also very competitive. Try driving a full race with all assists off, no HUD and AI set to the highest difficulty. These guys don't slow down to a mere halt in the corners (like GT6's AI.) These guys are going all-out, fighting for position on every hairpin. Not once have I ever been able to casually play F1 2013. I always have to sit down in my seat, dim the lights, set up the audio system and focus on my upcoming race. This is regardless if you're racing AI or a group of friends. It's a very competitive game.
As a GAME, I prefer F1 2013 way more than GT6. It does what it sets out to do and it does it well. As a huge F1 fan, I have a blast playing it. The older F1 cars are nice, but they don't feel as defined as the modern ones, as if their physics models were just slightly tweaked to fit the bill. They're more of a novelty experience, rather than a game changer. Still fun, though.
I recommend F1 for anyone who is a fan of F1. No other game like it.