Benchmarking two different approaches for collection validation

I recently came up in a situation at work where I needed to validate a collection of permission's ids (providedIds) based on a valid collection of permission's ids (validIds). If I find at least one invalid Id, the whole collection fails the validation.

So I used LINQ Except extension to check what exists on my providedIds that doens't exist in my validIds. If there are any, my providedIds are not valid.

public bool ExceptApproach(IEnumerable<int> permissionIds, IEnumerable<int> validPermissionsIds)
{
    var invalidPermissions = permissionIds.Except(validPermissionsIds);

    return !invalidPermissions.Any();
}

But then it occurred to me that all I need to know is if there are a single invalid id in my collection. So I tryed a different approach:

public bool AnyApproach(IEnumerable<int> permissionIds, IEnumerable<int> validPermissionsIds)
{
    var atLeastOneInvalidPermission = permissionIds.Any(id => !validPermissionsIds.Contains(id));

    return !atLeastOneInvalidPermission;
}

But, is it really better? To answear that question I searched a way to benchmark it and decided to use: benchmarkdotnet. And I came up with this:

BenchmarkDotNet=v0.12.1, OS=Windows 10.0.19041.928 (2004/?/20H1)
Intel Core i5-9400F CPU 2.90GHz (Coffee Lake), 1 CPU, 6 logical and 6 physical cores
.NET Core SDK=5.0.101
  [Host]     : .NET Core 5.0.1 (CoreCLR 5.0.120.57516, CoreFX 5.0.120.57516), X64 RyuJIT
  DefaultJob : .NET Core 5.0.1 (CoreCLR 5.0.120.57516, CoreFX 5.0.120.57516), X64 RyuJIT

The AnyApproach is better than the ExceptApproach for small collections. When the collection
[1,2,3] is valid, the AnyApproach was about 50% faster. And when the collection is invalid [2,3,4]
the AnyApproach was way better (because the first element was already invalid)

For larger collections, the ExceptApproach and AnyApproach were more close: 3,787.92 ns x 2,398.31 ns and yet, the AnyApproach was faster (for a valid collection). For a invalid collection, the AnyApproach was significantly faster (again, because the first element was already invalid)

In conclusion, I think using the AnyApproach is better than the ExceptApproach. I know I should have included more cenarios like: "what if only the last permission Id is invalid?" or "what if only the element at the center of the collection is invalid?", but for the situation I have at work, this is enough to go on.

*For those wandering, I edited the columns permissionIds and validPermissionsIds because I didn't find a way to include custom names for the values I used. Here's the full code.