Is there any difference in performance between these two LINQ to SQL queries?

I've been recently looking into my web app performance and found some LINQ queries that I'm not sure if changing them would improve performance.

Basically the current code looks like:

var result = _carsRepository.GetAll()
                 .Where(x => x.Name == input.Name)
                 .FirstOrDefault();
if (result != null)
{
    throw new Exception("test");
}

I'm thinking of changing it to:

    var result = _carsRepository.GetAll()
                     .Where(x => x.Name == input.Name)
                     .Any();
if (result)
{
    throw new Exception("test");
}

In my understanding the first query would return an actual entity, which I don't need because I only want to know whether the record with the same name already exists in the database. The second query returns just a bool.

I'd be thankful for any comments.

EDIT: I could be running the query on EF db context, so please ignore that. The current repository is a generic Abp.Domian.Repository. GetAll() returns IQueryable