I think most any fact you learn about a person's living style and situation could lead to assumptions about how much money they have and what they should or shouldn't do for you? While it can be tempting to hide or misrepresent your profession, position, income, etc. because of how it will affect other people's view of you, to outright lie about it is wrong. At the same time to be vague, especially on the first date or two when you're looking to discover personality and lifestyle rather than what sort of financial situation you'll be in if you marry, is perfectly acceptable. So a simple, I work in IT or I work at the local grocery store is perfectly acceptable whether you own the business or you just stock merchandise. While I try to be a bit sensitive to those in difficult or desperate situations that don't have good answers, if someone seems too interested in my finances too early on that would be a red flag for me. Because the relevant information about this person's attitude toward money and finances should become apparent as you spend time with them.
The one real life example (about time spent together revealing attitudes about money) I can think of off of the top of my head (which is completely not dating related) would be a former co-worker that I became friends with. We hung out, outside of work a few times and just in conversation and the times we hung out, it became apparent that she spent money very freely and since it seemed unlikely she made much more than me and was married (husband was in grad school at the time), renting a much bigger place, commuted much farther, and a few other things that I knew about her life; I suspected she was swimming in debt (or else still financially supported by extended family members). If she'd been someone I was dating I would have probably started some sort of conversation about budgeting or money management and ended things if that didn't go well.
Similarly no one has to be around me or my spending habits for very long to discover that I'm much more comfortable giving money away to a good cause than spending it. I'm never going to be a big spender and I'm not going to be staying with someone who is ( that may make me one of the few women on the planet who might break up with a guy for spending too much money on me). I may be learning to acknowledge that God has blessed me with enough by changing my words from "I can't afford it" to "I choose not to afford it".
But a large part of a person's financial situation is determined by the choices they make about their money rather than the money they have. When I looked for a place after getting my current job, I pretty deliberately decided to rent a place the was cheap rather than a nicer one that was more expensive. I could easily be paying $200-400 more per month in rent and over the course of the 3+ year's I've been here, well that $200 per month would add up to $7,200 out of my pocket, that's starting to be real money there. I also made a choice that the only in home entertainment I would have would be internet and amazon prime. So my streaming entertainment choices are limited (and I have no cable TV service). Living within those limitations might make a date think I am much pooer (ok great typos don't get deleted but that's supposed to be poorer) than I am, but I don't think I want to be with someone who doesn't hold similar financial values (and definitely don't want to be with someone who will spend us into debt faster than I can make it).
So to be perfectly blunt, your income doesn't give you any obligation to live a certain way or obligate you in any way to your date (though if you make significantly more than your date but make them pay for everything over multiple dates, you're a total jerk and deserve to be dumped). If your date is under some delusion that they deserve your money because you have some money and went on a date with them, they're probably not the kind of person you want to keep dating.