Yet again I see people referring to 'disabled lifts' and 'priority access lifts'. Would someone please clarify exactly what you mean by those, and what public information is posted to imply that meaning?
If you're referring to the white on blue stick wheelchair symbol, that doesn't say anything about who can and can't use a lift, or anything else designated by that symbol. That symbol is the International Symbol of Accessibility, and its meaning and use are set out in ISO Standard 7001 : 2007. It will cost you 178 Swiss Francs if you want to buy it, but your local Council should have a copy for you to refer to, or a disability policy officer you can discuss it with.
Again, yet again, what that symbol means is:
^With two exceptions, the International Symbol of Accessibility means that the designated area or facility is mainly, but may not be wholly, accessible to someone in a wheelchair.
The two exceptions are a lift and a toilet. In those two cases the designated area or facility including all its equipment, services and controls, are accessible to someone in a wheelchair.^
And that's all that sign says. I'm obviously disabled and have been given priority in a queue on many occasions, for which I'm grateful, but I've also pointed out, when someone in the queue has been a rude pillock like the woman referred to in the OP, that the facility is for everyone who needs it regardless of the reason they need it.
And they're not 'disabled' lifts or anything else; they 'accessible' lifts, toilets, or whatever. If you're a parent transporting a child in a buggy, or luggage, or anything else that makes it difficult for you to get up or downstairs safely, lifts, marked accessible or not, are meant for you. Likewise if you'd struggle with getting you or your child into a toilet cubicle, the accessible toilet is for you. Get yourself a Radar key.
And if you want to disagree with me about what that symbol means, do check the standard before you argue back. I've been here several times to make its meaning clear and have had several people not knowing what they're talking about, telling me I'm wrong, and in pretty objectionable terms. It may not be exactly as per the standard – have you ever read one of those things? – this is what it means, and nothing more.