Well, no. See, Caro originally intended the 3 main chars in the routes to be pursued romantically only in the right route... then he chose to be a bit lenient and made this triangle possible in neutral, but not with Axel, due to his... more demanding personality (besides, a love triangle with Thane would pose obvious problems). That also goes for the sex scenes with Axel, those require to go full bull route, it is by design to incentivize trying all the routes (the added triangle making it so you don't have to go full lizard for Nauxus at least; 3 playthroughs is more doable than 4, if we include Selye's route).
One advantage the neutral route leaning more to Axel has is that you can have Axel taste Thane's dish in his quest where he tests 3 dishes btw, so doing the quest fully is possible without a permanent malus, but yeah, the neutral leaning to Nauxus is generally much better (if you choose to forgive Nauxus, of course).