Out of curiosity, do you remember how many of the optional rules were used when you first started playing 2e? You've mentioned dice fudging in previous threads, but I'm curious if your table used things like the "Hovering on Death's Door" optional rule immediately or did you do something else to handle dying? Exp for gold? Non-weapon proficiencies?
The reason I mention this is it seems like 2e frequently gets categorized as not being OSR because of the shift that happened during the edition towards more story driven campaigns, or at least that's what was largely being sold by TSR in published modules. My play experience largely reflects that as we got more into playing, but I will say our entry point into 2e where we didn't use any optional rules probably resembles a game that is closer to a OSR style dungeon crawl. 3d6 down the line and you made whatever character you could, you died at 0 HP, monsters used morale to decide how they would approach the party instead of defaulting to a scripted hostile or friendly, we tracked resources, energy drain took levels, save or die and so on. Much like the products TSR sold, our campaigns eventually shifted in tone as we added more optional rules from the PHB and DMG in but the point of my ramblings is if you play 2e out of the box with only 1 optional rule (exp for gold), you get a game that is very typical in tone to what I frequently hear people describe their B/X or 1e games. Or at least that was my early experience playing 2e.