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The only stores that you should really apply in store vs online are Nordstrom, Macy's, Bloomingdales... they are very security sensetive and macy's and bloomingdales if they approve, approve much lower until they can talk to you and take you through an additional verification... additionaly they will only consider you for store card online and if you apply in store they will consider you for the macy's amex, bloomingdales amex at same time.
otherwise I prefer at home because I have the backdoor numbers and usually know far more than the cashiers about possible recon or what not.
Since you are talking about Barclay, to me even more reason to do it at home since you can call backdoor instantly if they have issue that you are only 3 months in on another card of theirs.
15 or so years ago when I got my Best Buy card, supposedly it was much easier to get approved in the store. That is, as long as the employee checked off the box that said your photo ID was verified. If they didn't do it quite right in the computer then you didn't get an advantage. I am foggy about the details; that was a long time ago.
Just didn't know if your approval chances were higher in store, say credit requirements were just a little bit looser due to you being there ready to purchase something. Just my thinking, lol.