I'd hate to be the bearer of bad news mate, but old Logitech wheels are 100% not going to work in any PS4 game, ever.
At first, Sony allowed any non-official wheel to be supported in-game, but this required the wheel makers to provide drivers to the game developers. Fanatec provided drivers for PS3 era wheels to devs, which is why in older PS4 racing titles, you can use all the PS3/XB360 wheels without any problems. Logitech, on the other hand, chose to not allow their PS3 wheels to be supported in-game. This was because their new wheel was basically just a G27 with a different rim and official PS4 support, so them allowing G25s and 27s to be supported in-game would likely mean less sales of their G29.
Sony then did a spectacular backflip on their decision to allow legacy wheels in-game, and overnight the in-game support of Fanatec wheels stopped. This didn't affect games like Pcars, Dirt Rally, SLRE, F1 2015, and The Crew, because they were released before this backflip, but games like F1 2016 and Assetto Corsa, which were released after the backflip, had no Fanatec support.
Thrustmaster, being the official partner for the PS4, is still allowed to have it's PS3 wheels supported in-game it seems (The T500 is still being supported in-game, despite being a PS3 wheel). But Fanatec have since started working on an officially licenced version of their CSL base for PS4, and Logitech, who never offered in-game support for PS3 wheels anyway, have their officially licenced G29.
The good news is you can make a GIMX adaptor for around $10 or less, and use the GIMX software for free, to make any Logitech PS3 wheel, or any Fanatec wheel with a PS3 mode, work on PS4. It's a bit of hassle to get it all set up, but if you don't want to/can't afford to buy a new official PS4 wheel, it's a great alternative. I use it to enable me to play F1 2016 and AC with my Fanatec CSR.