First off doing this 🙄 to someone's personal opinion on the fight outcome really doesn't add to your argument.
I say Spiderman could stalemate by staying out of Wolverine's reach. You imply Wolverine could reach by leaping at him. Last time I checked Spiderman can cling to walls 10... 20... 30... ft and higher. So I'm sure you'll be providing some nice scans of Wolverine's superhuman 30 ft leaping ability.
Why did Wolverine not bleed to death when his claws pop out? Because forming blood clots is relatively fast when compared to other healing processes such as repairing neural trauma.
Spider-sense, I'd speculate it could be due to an altered amydgala. No one's questioning the existence of the healing factor... or even the mechanisms... just the rate of the healing factor.
To argue that the healing factor (and a lot of Wolverine's other physical traits) isn't inconsistent is just plain untrue. It is altered to suit the writer's needs. There's a reason why they've never put a quantitative value to it.. because it serves them well as a plot device.
Is it 10x faster... 50x faster... 100x faster... 100,000x? It's just slow enough to match the opponent and just fast enough to win, right?