Synergies not appearing properly on mobile is a bug.
Companions cooldowns have been discussed extensively (in exhausting detail) and the accepted conclusion was that, due to players being able to have dozens of the same type of companion, each with their own individual timer, it would be far too easy for players to abuse the system to get rewards if they were removed. It would be very easy for two players to trade the same wolves back and forth between one another, every few minutes, equipping and playing with companions each time they receive the wolf.
Wolf cooldowns have a very similar problem. They exist so that players can't just endlessly cycle their wolves around to avoid having to feed them (and thus completely invalidate food, once they had enough wolves). If you could trade away wolves to remove their cooldowns, all you'd have to do is equip a new wolf, exhaust it, trade it to a friend, and repeat, all while your friend trades it right back to you.
There's some inconvenience while we have so few wolves, but once there are plenty of wolves around (probably around the end of the week, once the first batches of wolves grow up), managing wolves will be significantly easier.