This is a good post...I thought about it for a couple of days and read some items about jackpot winners.
My thoughts lean towards whether or not you can claim anonymously as having alot to do with the self esteem.
In either case, the first thing would be to set your priorities on the winnings. My Big 5 priorities would be 1.) to pay tax obligations on the winnings (make sure you keep/have enough to take care of this so you are not surprised at tax time) 2.) Debt. For the mortgage, I would keep this for the interest deduction in the year that I would win, then pay it off Jan 1 of the next year. Pay off any other debt right away, keep the credit lines open, just don't carry a balance. 3.) Charities- set aside money for a charitable organization or 2....if I won a PB or MM jackpot, aybe quit my job, live off the interest and do volunteer work. 4.) Take care of family, just the needs not the wants. For the kids, college 529 plans would be fully funded every year. Setup spendthrift trusts with conditions. 5.) Don't spend on wants....Invest in needs....you still need to take care of yourself. It wouldn't be about a mansion and a Ferrari. If I were to quit my job and volunteered, I would still need to live off the earnings. Life /health policies. Longterm care insurance, so as not to deplete what I would want family to inherit. If I only take care of things that I want...I will be worse off, emotionally and possibly financially. If I take care of my needs...my health, making sure my car is maintained so I don't have to go and buy a new one, make sure that I have money set aside to replace things that need replaced in my home, then I think I can focus on my self esteem more than worrying about coming up with the money to fix things that NEED to be fixed. If I went out and bought a Ferrari and the engine needs serviced and the mansion needs the plumbing fixed to the indoor pool, that really isn't a need since the car and mansion were initially wants. Again, this is where you set priorities and go from there.
Now if there is no anonymity, you might feel your self esteem take a major hit. People knocking on your door because you have something they want...$. They could care less about you before you won. After you win, you become their new "best friend." I think this is where my Big 5 priorities would really need to be clearly defined and followed (speaking for myself). I would have to set limits on the amount I would give to charities and which charities I would feel as deserving. Same goes for family, if I gave $13,000 to someone and they weren't happy would I be obliged to give them more? Hearing sob stories and saying no, I could imagine, would put a ding in one's self esteem....but you can't fix all of the world's problems(that' something you have to keep telling yourself). With all his flaws, Jack Whittaker did set up a foundation to help people and built a few churches, did it make him happy? Bunky Bartlett, would still get questions on his lottery win, while trying to undertake something he truly believes in. For Brad Duke, he had the best plan, still the money became a full time job.
Anonymously claiming (if allowed) would make it easier to help your self esteem. No paranoia about leeches bothering you for handouts or trying to be your friend under false pretenses.
I know that some people on here feel that if you were miserable before, you might be worse off later with more money. I tend to to think that if you can know the difference of needs and wants, take care of others, and still take care of yourself and realize that even with a large amount of money that you're not going to make everyone happy, you'll do fine. Anonymous or public, creates two different paths fo your self esteem. Anonymous claim would allow you the ability to not have to worry about what others motives are. Publically claiming would be harder to maintain one's self esteem.