Remember that those units are made of Heroes who often don’t fight together outside of anvil, either IC or OOC.
There are unit commanders, runners all reporting to the Field Commander who is appointed by the generals. Having not seen the videos in question myself all I can go off is my time in battles. Units move and shift at their commanders orders, sometimes in fixed formation sometimes in lose formation sometimes in no formation at all. I’ve seen marcher Billblocks that step and fight in precision, Highguard Shieldwalls that form and reform as needed and loose gatherings of skirmishers which slowly move around.
As for not pressing, a lot of people when the blood’s pumping and the adrenaline’s up don’t know when to push forward, or all four are waiting for the guy next to them to take the first step and are waiting for that guy to start the attack. I don’t think I know a single person who has played a commander who hasn’t got a story of ending up with a ragtag group of whomever outnumbering an enemy force but hesitating and leading that attack with an inspiring call and a brash demeanour and little to nothing to back it up.
Remember also those videos are several years old we’ve had great successes and failures since then and a lot of the Command and control process has been improved. That said if you go to battle and find the command and control limited or lacking then go ahead and get involved in trying to improve it for your nation, whether by aiding or trying to replace the existing generals and commanders. Now some of this will be limited by the law and the Constitution (The Heroes of Anvil are not Soldiers, they are not bound by law to follow any Orders but those they choose.). Alternatively you could look at calling those who fail up for inquisition if you believe it was a failing of virtue.
As for Ritual Covens, they do sometimes enter the battlefield as covens but like Priestly forces, when they do it tends to be as mission packages. We’ll get mission requirements like ‘reach the regio, hold it long enough for this ritual to be cast and then extricate the mages." or "Get the priests to the source of the False Virtue aura, let them cleanse it and then get them out’ often attached to other requirements like hold a pass, slaughter a general or bring down the Monster.
In terms of the regain mana rituals you’re thinking of rituals like Solace of Chimes and chamber of Palas. They require 15 minutes or ‘rest’ without fighting to regain Personal Mana so they are not a battlefield resource.
Yeah, Most players who are Monsters take great delight in their monstrous roleplay, I know a particular bunch of archers who keep very careful score of who they shoot and delight in taking out difficult and important targets.
As for not executing, it is mostly a game design decision (‘He’s dead’ is less fun than ‘we have to rescue him.’) but each of our enemies have their own reasons. The Jotun see themselves as Honourable Warriors, the Grendel belief in Ransoming prisoners and the Druj are likely to just want to torture you first before you die.