I think newer iPhones/iPads should be as fast as laptops, as in support the new faster wireless standards. But it depends on router as well and which mode you use.
A relative had an older iPad (1st gen I think) and could not get very fast speeds despite he had 100 Mbit and a new fancy (and expensive) router. He was so disappointed in his new router. I did some testing with my laptop and got great speeds. So it wasn't until he got a new phone (iPhone 6 in this case) that he could use the full potential of his wireless. Not saying you need/should upgrade!
So if you suspect something is wrong, perhaps it's time to do some error checking. A simple test is to test network speed on your laptop and on your iPhone/iPad (using some service), you should get the same speeds more or less. There are apps and websites for this.
Seems like QoS/MMS is a common error cause, perhaps try to turn that off on your router.
(My parent's only have 2/0,5 Mbit and it is painfully slow to upload there. I always do it at home instead where I have 100/100 or at work (200+). There it's fast to upload, so the servers should be able to handle speeds up to that speed at least)