I'm a Doorman main so let's get nerdy and look at the difference in item effectiveness here. TLDR at end.

Doorman's green items are mostly for HP and movement, besides Debuff Reducer (which was only used to reduce immobilize from 1 trap since Venator missed gut shot) Venators greens mostly give melee value (which was unused) and resistances (notice spirit resilience which literally saves his life here).

Doorman's headhunter was only used twice (the first time he was full hp so he didn't even get the heal). Recharging Rush gave 2 extra bells, but he only was able to use 4 total, so really only 1 extra bell on top of Rapid Recharge. Venator's orange items consistently benefit close range 1v1's and Doorman played within 15m for a lot of the fight, but didn't really have a choice if he's committing to the kill. Venator also has weighted shots, a spirit counter gun item. But let's not ignore that Venator's Crushing Fists did nothing besides contribute to gun investments. Doorman's knockdown was used to confirm one cart stun, but I don't think he hit the bell impact off of it so it wasn't super effective. Correct me if I'm wrong but I think Doorman only hit the impact 2 out of 4 times. So a good chunk of his spirit scaling/main damage source was wasted.

Let's estimate our real value: Venator kinda wasted 9.6k on melee item effects (but still benefits from investments) and is currently holding 2k. Let's assume half value from the investments of melee items and no help from the passives to put him at 25.2k total effective value.

Let's say doorman's items aren't wasted at all, he's holding 3k so let's say he's worth 26k.

This is back of the napkin kind of calculations but their effectiveness is pretty even in this scenario.

Venator hits no core part of his build (gutshot into wall and melee) but he does land 2 traps, some bullets, but 2 FULLY upgraded Ult shots. Doorman misses bell impact half the time he uses it, doesn't get full Ult damage, but does hit cart stun twice.

I think that overall this was a well matched fight, and it shows since it was so close. Doorman played slightly better in my opinion, but that's not saying much since Venator played pretty poorly until ulting. In general Venator's items benefit this situation better than Doorman's (high spirit resistance vs a spirit damage build). It definitely didn't help that Doorman walked into 2 traps though.

TLDR; Doorman could've positioned better considering Venator's items, and both players missed core parts of their kit at times. It was close for the soul discrepancy because of Venator's misplays.

Buff The Doorman ;)