Why? Any procedure is a risk, and if you don't mess around and your wife can't have kids, don't quite understand the motivation or the usefulness.
Oh, I see you have a particular problem in that area, is that the reason?
You say you don't mess around, if that is true, and you're married to someone who has had a tubal ligation, why are you thinking of doing a procedure whose only purpose is to prevent producing children? Are you thinking of ending your marriage, or perhaps looking ahead and thinking you might wind up a widower and not wanting to have this operation later in life? (That would be some interesting planning ahead.) My thought is, your wife will think you are intending to play around. (Or were you intending not to tell her about the vasectomy?)
It sounds like 33 years ago, your doctor was more or less pulling the wool over your eyes for his own cover-his-a** reasons.
Here's from https://goodmenproject.com/newsroom/are-men-legally-required-to-ask-their-spouses-permission-for-a-vasectomy/
"There’s no legal requirement for spousal consent and no minimum age for vasectomy other than the minimum age of consent. But while it’s not necessary to have spousal consent, it’s a really good idea, and involving the spouse in the decision is encouraged."
"Doctors can impose requirements in a private setting in order to protect themselves legally. It’s their choice that they want to do that. While it would be pretty difficult for a wife to successfully sue a doctor for doing a vasectomy on her husband, it wouldn’t surprise me if their legal counsel insisted that they would be better off getting that consent. That said, nobody I know is imposing that kind of requirement."
Evidently anyone can have a vasectomy as long as they are of legal age and sign the consent form.
I'm still puzzled about this overall, though. If, 33 years ago, your wife felt strongly enough about not having more children that she had this operation even in the face of your opposition, that was clearly a fight (one of the biggest problems between spouses to solve is disagreement about how many children to have). And it also had to have been a huge disappointment to you that she did it in the face of your opposition. But, even if you were furious with her, what would be the point (then, or now after stewing over it so long) in having a vasectomy if you wanted more kids?
Why give her the satisfaction of cutting off your own ability to have children if that's not what you wanted then, and not what you even much want now (or at least, having no more children was sad for you?) Do you think it would make you feel more in control of this decision? Is this a backhanded way to make your wife sorry she had the operation? (She won't be.) It just seems like it's pretty convoluted and won't do what you think it will do for your sense of agency.
Life is unpredictable. You're 60. My husband and I had our son when he was 62. Think it over ... you just don't know what will happen in the future.