Omit constructor initialized, ini-only record properties

OmitInitOnlyRecordProperties.cs

public class OmitInitOnlyRecordProperties : ICustomization
{
    public void Customize(IFixture fixture)
    {
        fixture.Customizations.Insert(0, new Omitter(new ExtenalInitPropertySpecification()));
    }

    private class ExtenalInitPropertySpecification : IRequestSpecification
    {
        public bool IsSatisfiedBy(object request)
        {
            return request is PropertyInfo propertyInfo
                && propertyInfo.DeclaringType.IsRecord()
                && propertyInfo.IsExternalInit()
                && propertyInfo.IsConstructorInitialized();
        }
    }
}

TypeExtensions.cs

public static class TypeExtensions
{
    public static bool IsConstructorInitialized(this PropertyInfo propertyInfo)
    {
        var declaringType = propertyInfo.DeclaringType;
        if(declaringType is null)
        {
            return false;
        }

        return Array.Exists(declaringType.GetConstructors(), ctor => Array.Exists(ctor.GetParameters(),
                param => param.ParameterType == propertyInfo.PropertyType && param.Name == propertyInfo.Name));
    }

    public static bool IsExternalInit(this PropertyInfo propertyInfo)
    {
        if (!propertyInfo.CanWrite || propertyInfo.SetMethod is null)
        {
            return false;
        }

        return propertyInfo.SetMethod.ReturnParameter
            .GetRequiredCustomModifiers().Contains(typeof(System.Runtime.CompilerServices.IsExternalInit));
    }

    public static bool IsRecord(this Type? type)
    {
        return type?.GetMethod("<Clone>$") is not null;
    }
}