I played a little of this on android a while back and it is, as you guessed, a lane push type game. There are skills you can activate but, for the most part, the units you summon will march towards the other end of the map attacking everything in range.
If there is a pre-reg gatcha, I recommend rerolling any artillery you get as they were awful back when I played. Assuming they didnt get buffed, their dps was terrible because it took ages for them to fire. Their slow movement speed didnt do them favors either. Most enemies would be dead by the time the artillery was ready to fire. And two of their best stats (range and large attack angles) actually made them worse since they would attack turrets way off to the side instead of helping with the push.
If you do decide to use artillery, stick to 3 stars with the stun skill. 3 stars cost less to deploy and had smaller attack angles.
Wonder if WWII bias will be stronk : Tigers 1-shotting Shermans across the maps, dozens of T-34s running to their doom, Tiger II/Jagdtiger bogging down and being broken 1/2 the battle, Maus waifu blowing it's own turret away in the 1st trial, the French surrendering after 2 shots that missed them .....