1: Lothars + Shadow Dance is clearly intended; it literally says in the tooltip what it does. The bonus regen/speed depends on whether or not he is visible, so items that affect his visibility clearly have an intended effect on the ultimate.
2: Lothars on DP/Leshrac is stupid and will only work against stupid players. They can't use the damage/attackspeed, all they get is the invis which is countered for 180 gold dust. And then you can't spam skills.
3: Vanguard on a ranged hero - really now.
4: Starting the urn off is no problem. Batrider is literally the easiest hero in the game to kill an enemy mid with, hands down. If you can't kill mid, there's always a lane ready for a gank. Urn also gives HP, mana regen, and is very cheap. You've clearly never played against a player using this build, or used it effectively yourself.
- an experienced player is not going to stand there and let you napalm them.
Are you for real?
Napalm is actually like 1500 range, you can't avoid it unless you stand out of XP range and do nothing. This is why batrider is good in the first place. You also can't out-run napalm, not even windrunner can really escape it.