Parameter not updated from config - start_sensing_delay keeps staying at default value

### The problem

I do have a Shell Plus 2PM, which is flashed with ESPHOME.
I wanted to use a current_based cover here. When I first flashed i did not set the `start_sensing_delay` parameter.
As it was not working with my motor, like this. I wanted to update the start_sensing_delay parameter.

I changed it in the config and flashed the new firmware OTA.

I did try different values for `start_sensing_delay` and could not see any difference in the behaviour.
Now, when i did connect to the ESP using `esphome run` I saw in the logs, that the Value does not seem to get updated.
The Log is outputting the config for my cover, but still shows the default value of `0.5s` `[11:39:44][C][current_based.cover:153]: Start sensing delay: 0.5s`

Not sure If I am doing something wrong, or if this is a bug, that the config does not get updated?

Any help would be much appreciated.

### Which version of ESPHome has the issue?

2024.4.0

### What type of installation are you using?

Docker

### Which version of Home Assistant has the issue?

n/a

### What platform are you using?

ESP32-IDF

### Board

esp32doit-devkit-v1

### Component causing the issue

cover current_based

### Example YAML snippet

```yaml
cover:
- platform: current_based
start_sensing_delay: 3.0s
name: "Wohnzimmer Rolladen links"
id: rolladen
open_sensor: current_b
open_moving_current_threshold: 0.5
open_obstacle_current_threshold: 0.8

open_action:
- switch.turn_on: relay_2
open_duration: ${open_duration}

close_sensor: current_a
close_moving_current_threshold: 0.5
close_obstacle_current_threshold: 0.8

close_action:
- switch.turn_on: relay_1
close_duration: ${close_duration}

stop_action:
- switch.turn_off: relay_1
- switch.turn_off: relay_2
```

### Anything in the logs that might be useful for us?

```txt
[11:39:44][C][current_based.cover:136]: Endstop Cover 'Wohnzimmer Rolladen links'
[11:39:44][C][current_based.cover:137]: Open Sensor 'Output 1 Current'
[11:39:44][C][current_based.cover:137]: Device Class: 'current'
[11:39:44][C][current_based.cover:137]: State Class: 'measurement'
[11:39:44][C][current_based.cover:143]: Device Class: 'current'
[11:39:44][C][current_based.cover:143]: State Class: 'measurement'
[11:39:44][C][current_based.cover:143]: Unit of Measurement: 'A'
[11:39:44][C][current_based.cover:143]: Accuracy Decimals: 2
[11:39:44][C][current_based.cover:144]: Close moving current threshold: 0.50000000000A
[11:39:44][C][current_based.cover:146]: Close obstacle current threshold: 0.80000001192A
[11:39:44][C][current_based.cover:148]: Close Duration: 28.0s
[11:39:44][C][current_based.cover:149]: Obstacle Rollback: 10.0%
[11:39:44][C][current_based.cover:153]: Start sensing delay: 0.5s
[11:39:44][C][current_based.cover:154]: Malfunction detection: YES
```

### Additional information

_No response_