Love this topic! I think I'll make video on it for my Channel and use what I find in this threat to have more of the information and angles.
Thinking about it for last few hours it make few things click for me, actually.
So, following my train of thought... this is how I think about it.
In Norse paganism we have two war gods. Thor and Tyr. Thor is the most favored among the gods, usually. He is protector of humanity after all. Yet we never engrave his rune or symbol (hammer) on our weapons. The reason is that these two are both gods of war and they always love to fight each other. But it is Tyr that is god of just war while Thor is god of wild war. Tyr fights for justice, Thor fights because he enjoys it. That is why we engrave Tiwas, rune of Tyr upon our weapons, if using single rune. (can be engraved 1, 3 or 9 Tiwas runes) Personally I would engrave it only on weapon that is supposed to be actively used. In the past that was quite a thing.
There are many runic texts on the historical weapons. Words of power, blessings, name of blade or name of owner.
Now this thinking about Thor reminded me of what I've heard on Esoterica about origins of YHVH and made me realize that his name should never be on any weapon either. He is "originally" also god of thunder and war, probably very similar to Thor, if they are not even from the same origin. He was married back then, till his wife was lost (or whatever happened) and he ruled his people in the end alone. He also takes pleasure from war and observing history and current state of Abrahamic religions it is obvious. They, his servants and children, keep seeking battlefields of many kinds. They have occasional times of peace, but they still seek to defeat others and dominate them. (convert them) They also protect the weak among themselves, that too is nature of this god.
Christian knights of medieval Europe are also great example of their god being just like Thor. The code of knight was one of a protector but also of a destroyer of the enemies. When there were no enemies, the knights were challenging each other or choosing enemies themselves. But they are not only warriors of Abrahamic god. These people just love to fight, you can find a lot of their fighting taking place in debates. That one goes on since middle-ages. They fight with demons. They fight with unbelievers, not always with weapons, but by psychological warfare for sure. They split into many branches that keep disliking each other and fighting over who has the one and only right religion. There could be even more of their battlefields pointed out...
Spiritual warfare at its best... or at its worst, depends on what you prefer to call it.
However YHVH, and Thor too, are gods to call forth when you need to defend against attack. When your life is on the line, don't bother about justice. Bother about surviving it as safely as possible. Invocation or prayer before battle where you need to defend against attack is quite reasonable choice.
I would not engrave symbols of these gods on any weapon. Their energy in a weapon would quite likely make it bloodthirsty. And blood thirsty weapons are feared a lot. I've heard somewhere legends of blood thirsty blades, that were very dangerous, because if they didn't get blood of the enemies, the owner ended murdered by that blade. I would say that it is good reason not to do it.
There is potential exception here, and that would be a ritual weapon, used for ritual only and never used in any sort of combat. The reason is that taking such a weapon into hand is not a call to battle, but a call to a special occasion where every side knows that no fighting is going to happen and energy is very different. Some occultists surely use ritual weapons. Those then become conduits of energy that are visible in spiritual world and are very different from other weapons.
For the enchantments. I would probably go for soul-binding. (basing on the games, where once weapon is given to character, it becomes soul-bound and cannot be given away) Meaning binding the weapon to me that it cannot stay away from me and always would return even if it gets lost or stolen, it would fight the new owner and demand being returned. The weapons I connect with I definitely would not want to go wandering. When you "become one" with a weapon, especially blade, loosing it is not nice situation at all.
If the blade is used in occult rituals, it becomes soul-bound as well... also if used for training and combat over long time. Kind of natural process I guess.
So... in the end what matters is not only what energy or deity you want to have the weapon dedicated to, but also what is the weapon going to be used for.