By and large, I agree with the accepted answer. For the most part, I'd default to "no". Particularly in the case where you are new to this particular market, and I'd be doubtful that you know exactly what range to quote. For example - yes you may be entry level, but the depth and experience of graduate studies mean that in some industries, you are above the general cut of "entry level" salaries. When you really don't know the value, and are testing the opportunities, state the expectation in a way that doesn't lock you down. Saying in your cover letter that you are changing industries, and thus interested in entry level positions gives you a way to set expectations without locking yourself down to a number.
I do get tired, however, of seeing "don't be the first to set an expectation" as the defacto advice to negotiation. Someone has to start. It's not just a blanket rule - we're not playing tic tac toe (where the person who starts has a distinct advantage, and there are no secrets - the next move is entirely discernable!). In a negotiation, the person with most power is the person with the most information, and the person most able to find creative ways to get what they want at the least cost to the other party.
The best time to quote numbers is to save yourself, and the other party, some time. That's the big thrust of the answer referenced in the question - that resumes and cover letters are terse, because time for review is tight, and managers appreciate any way of narrowing down the pile. That's absolutely true - so quote a pricetag when you want the pile to be narrowed down and you're willing to accept that you might not be part of it.
That sounds awful in a case where you're looking for every and any opportunity. But it isn't if you have a great job, and you're just looking for an even dreamier position. At that point, giving the minimum you'd ever consider saves you and the company time so you can continue with your realistic career options.
I don't think that's the case here.