For me yes Amazon service has changed drastically. Prime means 4 day shipping now instead of 2 day. It's been this way for months. I would get a package I order in two days. It now takes two days from the time I order for it to be shipped and two days to get it by UPS, FedEx or USPS.
Now if I order on say a Saturday it still wont ship until Tuesday and it shows up Wednesday.

It use to shipped either late Sunday or Early Monday.
So it's like this if I order something Monday I will get it Thursday. What's more crazy alot of the stuff comes from the warehouse right here in Raleigh.
I use to be able to order anything. It was ship later that night and I got it two days later. Now I have to wait 4 days total so imagine without Prime what time it would get here.
I use Amazon gift cards earned through Swagbucks to buy essentials like Cat Litter, Nexium, and few other medicines I couldn't get any other way with my husband out of work but the two day processing is new and it misleading to call it two day shipping.