### Apache Airflow version

2.2.2 (latest released)

### What happened

Warnings `{providers_manager.py:156} WARNING - Exception when importing 'airflow.providers.google.leveldb.hooks.leveldb.LevelDBHook' from 'apache-airflow-providers-google' package: No module named 'plyvel'` appear in `wait-for-airflow-migrations` init containers and during webserver pod start.

### What you expected to happen

No such warnings, they were not present in 2.1.3 version.

### How to reproduce

Install Airflow using airflow helm chart with 2.2.2 airflow docker image and check `wait-for-airflow-migrations` init containers logs. Warnings can also be seen in webserver container.

### Operating System

Debian “buster”

### Versions of Apache Airflow Providers

Providers that come with the official Airflow docker image.

### Deployment

Official Apache Airflow Helm Chart

### Deployment details

_No response_

### Anything else

Looking at commit history, isn't this supposed to be a debug level log as per https://github.com/apache/airflow/commit/2f32df7b711cf63d18efd5e0023b22a79040cc86#diff-c56df299b30e60d690494057a4e8721d36406c0cca266961ff2ae6504993c8cb ?

Seems like this logic was changed in https://github.com/apache/airflow/commit/29aab6434ffe0fb8c83b6fd6c9e44310966d496a#diff-c56df299b30e60d690494057a4e8721d36406c0cca266961ff2ae6504993c8cbL288 since `_sanity_check`  doesn't handle `ImportError`s as debug messages . Should these warnings be ignored for now?

### Are you willing to submit PR?

- [X] Yes I am willing to submit a PR!

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)

airflow/providers_manager.py
"""
    Performs coherence check on provider classes.
    For apache-airflow providers - it checks if it starts with appropriate package. For all providers
    it tries to import the provider - checking that there are no exceptions during importing.
    It logs appropriate warning in case it detects any problems.
    :param provider_package: name of the provider package
    :param class_name: name of the class to import
    :return True if the class is OK, False otherwise.
    """
    if not _check_builtin_provider_prefix(provider_package, class_name):
        return False
    try:
        import_string(class_name)
    except Exception as e:
        log.warning(
            "Exception when importing '%s' from '%s' package: %s",
            class_name,
            provider_package,
            e,
        )
        return False
    return True
class ProviderInfo(NamedTuple):