My advice would be to learn Angular 2.
This may seem slightly unethical, but it isn't, because the recruiter was asking the wrong question, and you're helping them out by answering the right one.
2) A high achiever is often someone who lies to you and then works themself harder than hell to make the lie true
3) The company is not looking for someone who has done Angular2, they are looking for someone who can solve their problem using technology
Our ludicrous field is big enough and complex enough that, even if you have done years of work in one language or framework, the chance that your existing knowledge would translate perfectly is close to zero.
Also, there are enough tutorials out there that you could, within a matter of a week, get enough knowledge to get through an interview.
Actually, someone who's just done a bunch of tutorials might have an easier time in an interview, because the kind of questions interviewers often ask are the kind they look up from the documentation, and that you normally abstract away from the actual development within three weeks. (e.g. "tell me all about how destructors work in C++")
Which brings me to the other point, which is that, under normal circumstances, most of the hard work on the job will not be about learning Angular, but learning their specific system.
You'll generally pick up how the framework works (or at least how they use it) within a few days of working with it. What you'll struggle with is the layers of complex legacy code, odd non-standard patterns, and other shenanigans.
Now, if you don't want to get a job in Angular2, or feel that you'd struggle to maintain the illusion of expertise, then the other answers are absolutely right for how to approach the conversation professionally (especially obl's). And it would certainly be worth telling the recruiter that you're comfortable in either language.
But it is the job of the company interviewer to assess whether your knowledge is sufficient to make hiring you worthwhile for the company.
There's no reason to self-exclude when, if you can pick up the skills pre-interview, you'd probably suit the company just fine.