I have used low fees without many problems, sometimes to my surprise the transaction gets confirmed within a short period, some others I've had to wait days for them to confirm. On a couple of occasions after waiting forever, the tx were discarded by the network and the bitcoin returned to my wallet.
If you use an online wallet like blockchain. I'm sure if you use a low fee (like 10k satoshi) you'll get your first confirmation the next day lol. Because I tried it some time ago and then cured, and I moved out of blockchain
Yes if a person will pay a lower fees then the confirmation of that transaction will take that much longer time and in that case if a person need their bitcoin faster to transact then he will be tired to wait for that transaction but if a person will not need it faster then he will be ok for that.