Termination of employment occurs regardless of whether you were selected for redundancy or volunteered for it. This is not wrong – termination means your employment is ending, your employment would be terminating following resignation and it would also be terminating after dismissal, so the same term would apply in either case.
What would help clarify matters in the letter is the following:
“I appreciate this has been a difficult decision for you to make and thank you for agreeing so promptly.”
This obviously suggests that you had agreed to be selected rather than being picked without our consent. However, this is the only thing in it that suggests you volunteered and whether it is enough is really for the new employer to decide. Sadly there is nothing to guarantee this will happen.
What you can do instead is accuse the old employer of providing a negligent reference.
This is your basic legal position. I have more detailed advice for you in terms of the law on negligence in references by employers, which I wish to discuss so please take a second to leave a positive rating for the service so far (by selecting 3, 4 or 5 stars) and I can continue with that and answer any further questions you may have. Don’t worry, there is no extra cost and leaving a rating will not close the question and we can continue this discussion. Thank you