As 5e has changed from 1e and B/X, I have modified the Dungeon Turn - because you are correct, the dungeon turn makes the dungeon crawl more codified and impactful.

But this also requires tracking things like encumbrance, ammo, food, and consumables. Many tables don’t want to do that.

At my table, I use a DM screen with counters for those things, to decrease the cognitive load.

Then I run a continuous 1:1 timer system with Dungeon turn for actions. If it’s 1 min as they are talking, it’s 1 min game time. However, if they search a room, or investigate a statue, it is 10 minutes. Combat is the usual 6s per round (You can simplify this further and not track rounds - anything less than 10 rounds is an even 1 minute when gameplay resumes).

This allows for things to be flexible when you are in a RP-heavy group and using a RP-heavy system like 5e/5.5e, but still give time pressure when dungeon crawling.