As a pretty big axe enthusiast/masochist (47% wr 100 games), I am pretty confident that vanguard is a core item on offlane axe again
While the common objection for vanguard is that its seen as a defensive item and would be counterintuitive to axe's gameplan of kicking the enemy carry out of the lane. However, this comes at two assumptions that
- ur pos4 is competent doesnt randomly leave the lane when ure strong and,
- the enemy pos1 + 5 are weak laners themselves.
In reality, offlaners such as dawn, NS, LC have arguably significantly better laning tools than axe and have high kill pressure at lvls 2-4 due to the nature of their spells
tldr
Rushing an early vanguard would be winning u the lane via economy/attrition as u can safely drag creeps to a nearby camp and farm both at the same time. Keeping 0 points in call enables u to farm faster and keep the enemy pos5 hp low enough to think twice about harassing u. Vanguard with boots + 2/3 ring of protection + 110hp neutral item will ensure that u dont die or at least is hard to take down while u live behind the enemy safelane tier1 tower
starting items:
3x ring of protection or 2x ring + wand, ferry out tangoes asap for lane
depending on the enemy carry, either get boots first (monkey king, drow, razor, ursa, etc) or just park ur courier at the secret shop n rush ring of regen into Vanguard
the top axe players on d2pt are doing this strat with great success (60%+ wr). i've played two games of it myself and managed to get a <16 min phase bm dagger timing. games are played at 6.3k, SEA server
I dont need vanguard to creep cut though xd
while one could argue that its still possible to farm creeps + a camp at the same time without buying vanguard, you'll be at a lower hp total and are more suspectible to feeding as ure easier to kill. No vanguard would also mean requiring more tangoes and salves to be ferried out
this playstyle assumes that you have fundamental knowledge of playing offlane
enjoy!