customErrors issue when the SiteSqlServer is down

Platform version Using the default customErrors configuration:

<customErrors mode="RemoteOnly" redirectMode="ResponseRewrite" defaultRedirect="~/error.aspx">
<error statusCode="404" redirect="~/utility/error-notfound"/>

If the SiteSqlServer connection string is invalid or the SQL Server is unavailable, an ASP.NET Server Error message is displayed to the remote client instead of the expected generic message within ~/error.aspx. ~/error.aspx exists and is reachable whenever SQL Server is available.

ASP.NET message:

An exception occurred while processing your request. Additionally, another exception occurred while executing the custom error page for the first exception. The request has been terminated.

Can the platform be configured to show a custom error when SQL Server is down?