The word "dependency" gets thrown around a lot with baby sleep, and it usually creates more anxiety than clarity.
Here's a reframe: your baby associates white noise with sleep. They also associate a dark room, a specific crib, a certain temperature, and a bedtime routine with sleep. These are all sleep cues — environmental signals that tell the brain it's time to shift into sleep mode. Sleep cues are normal and useful at every age.
Adults have them too. You probably sleep better in your own bed, in a dark room, at a comfortable temperature. Some adults use a fan or a sleep mask or a specific pillow. These aren't dependencies — they're the conditions under which your brain does its best sleeping.
If you want to change those conditions, you can. It takes a bit of adjustment. But needing consistent conditions for good sleep is not a problem unless it's genuinely causing issues in your life.
If white noise is the only way your baby sleeps and it's creating real problems (can't nap at daycare, can't sleep at grandparents', can't travel without it), then working on flexibility makes sense. If it's working and you're just worried about the principle of the thing — it's fine to keep going.