I have to make some corrections to my previous post (for anyone interested in such a circuit).
It actually works OK in that configuration (using 6 inverter gates) as the RCD network has different topology for each branch (one of the diodes is reversed). This way, one branch has a delayed high-low transition while the other one has a delayed low-high transition. I was finding that picture on a quick search on google and I did not payed much attention (was just an example).
In my implementation, I used the same topology for both RCD circuits (delayed low-high transition) thus I only used one gate after one of the RCD networks to have complementary outputs.
Either way, the circuit is working just fine. Sorry for being inaccurate in my previous messages.