I'm in a weird position right now because on one hand I believe what you are telling me in spite of never having seen it myself...I grew-up with a household filled with both cats and dogs and yet I have never seen a cat make the 'puppy dog eyes' expression I'm refering to...(over the course of my childhood 3 of those household cats were actually considered "mine"...Chico, Peapa and Teala

and I'll add here that what's not in dispute is the notion that cats have a profound emotional impact on us "owners"). Ultimately, I have no point I feel compelled to prove. I am a total dog person...but certainly do not need others to be. <-I mean, apparently some people do. Just prior to creating this post I googled a couple of things I wanted to double-check on...and apparently this "dog verses cat" thing is some sort of raging, ongoing battle...generally with cat owners insisting that their cats are just as intelligent and interpersonally interactive as dogs...which I knew. I knew this was a *thing* enough to know that some member would challenge the sentiments put forth in my original post...but it wasn't until just prior to creating this post that google provided me a sense of just how intense this raging, ongoing battle is for some people... And the last thing I would want is to make it appear like I could give a shit in this regard. I'm just so happy that people have pets and that pets of any sort have people that care about their wellbeing and love them dearly.
On the other hand though I feel a sense of responsibility to the truth of what I started here. I feel it is my crappy explanation that may cause and has caused confusion. And so I'll just end by saying...while I've failed to explain it properly... I can pretty much assure you that your rescue cat is the exception here. Cats are considered solitary animals while dogs and humans are social animals. This is not to say that there aren't some cats that are more socially inclined and dogs and humans that are more "lone wolfish" in nature. But as it pertains to what I so poorly highlighted...dogs are interacting with their humans far more deliberately. There is a hard-wired commitment to
exchange which is what defines social animals..."what can I do for you in exchange for what you can do for me?"
I can pretty much assure you that the scientists that have studied cats versus dogs...even the cat lovers among them...would tell you that your cats expression was unusual and accidental (your cat may not have wanted you to go but the expression was not made with an awareness of you-you or of the emotional impact it would have on you and your behavior and choices) if they didn't outright accuse you of actually assigning social meaning... being a social animal...to neutral or coincidental cat behavior (which people often do...there have been many studies on this with a variety of different animals). Basically, your cat loves you, is dependent on you, feels your feels and will do physical things like meow, push you, etc. that they have learned will inspire you to meet his/her needs...but is rarely concerning him/herself with what they can do for you.
That expression is distinctly *dog* and social and demonstrates an awareness of the impact and exchange in spite of my sucky description of it.