I am afraid they probably will...It sort of depends who the future employer is? Is it more of a mom and pop company where there HR department consists of someone with an online certificate and thinks Olive Garden is top notch cuisine?
Or is it a Fortune 1000 company with layers of redundancy in Inhuman Resources that have the latest and greatest (and most obtrusive) spying and background check tools at their disposal and can basically find out the last time your cat coughed up a hairball?
I highly suspect that these days they can find out just about anything on employment dates, and skirting laws is just sort of a nod nod wink wink backroom thing...
You could just say you've been taking care of a family member with urgent medical needs and that is why you had to leave your job...get creative...they ain't playing fair so neither should you.