Do not project mammal behaviour
A tarantula does not build a social bond with a keeper in the way a dog or parrot can. Calmness around maintenance is not evidence of affection.
They detect vibration and chemical cues
Tarantulas are highly sensitive to vibrations and environmental changes. They can respond to repeated patterns without needing a human-style concept of an owner.
Habituation is possible
A spider may become less reactive to ordinary enclosure disturbance over time, but that can be simple habituation rather than individual recognition.
Handling is not enrichment
Even if a spider seems tolerant, handling does not provide a demonstrated social benefit and adds fall or defensive risk.
Individual behaviour is still real
Tarantulas differ in boldness, retreat use and feeding response. Those individual patterns are worth learning without turning them into human emotions.
Observation is enough
The useful keeper relationship is learning the animal's normal behaviour so changes are obvious. That can be rewarding without claiming the spider knows who you are.