Access to your Stripe account information is cool but I can't imagine anyone filling out their credit card information on your iPad. It sounds awkward and difficult compared to the Square reader.
Why would it be any different than the Square iPad app? I've been using that and entering people's credit card information for transactions and no one has had a problem with that. The feedback has been very positive.
Most of my experience with Square has been using the card reader. It feels more seamless