Non-deterministic `Dataset.builder_name` value
### Describe the bug

I'm not sure if this is a bug, but `print(ds.builder_name)` in the following code sometimes prints out `rotten_tomatoes` instead of `parquet`:

```python
import datasets

for _ in range(100):
    ds = datasets.load_dataset("rotten_tomatoes", split="train")
    print(ds.builder_name)  # prints out "rotten_tomatoes" sometimes instead of "parquet"
```

Output:

```
...
parquet
parquet
parquet
rotten_tomatoes
parquet
parquet
parquet
...
```

Here's a reproduction using GitHub Actions:
https://github.com/mlflow/mlflow/actions/runs/8153247984/job/22284263613?pr=11329#step:12:241

One of our tests is flaky because `builder_name` is not deterministic.

### Steps to reproduce the bug

1. Run the code above.

### Expected behavior

Always prints out `parquet`?

### Environment info

```
Copy-and-paste the text below in your GitHub issue.
- `datasets` version: 2.18.0
- Platform: Linux-6.5.0-1015-azure-x86_64-with-glibc2.34
- Python version: 3.8.18
- `huggingface_hub` version: 0.21.3
- PyArrow version: 15.0.0
- Pandas version: 2.0.3
- `fsspec` version: 2024.2.0
```