I'm sooo glad my current relationship isn't a business deal. Through circumstances which I had little control over, I had to let my house go back to the predatory lender. After many years, I'm just now reestablishing my credit history. I'm so very lucky to find someone to share my cardboard box and make it a home. Carry on...
Having a lot of money, or not is certainly NOT an indicator at all of a good person. But, there's nothing wrong with taking all factors into consideration, including financial. Especially if you've been taken advantage of in the past.

I think it's more tongue in cheek to be included in a dating profile, though! I would have laughed out loud seeing that, myself. And afterall, dating should be fun and not boring!
FTR, I do NOT have a "career" salary or a huuge 401k /retirement plan. (nor am I a gold digger seeking to be a kept woman. Gross!) I have my house, which I've scraped and saved for the entire time I've been divorced. I qualified for my Rural Development loan due to my excellent credit score, but I would ditch it in a heartbeat if I needed to stay afloat. I have modest savings and I manage it very well. I made a costly mistake in my mid-20's and vowed to never live beyond my means again. I've kept that vow.