I paper filed April 14, 2021. I've checked the automated refund status site many times and only get "no information available".
today I was prepared to spend extended time on hold to find out if the IRS had even received my return. I was trying to find out if I should start thinking of sending in another return. after several tries with the automated phone line I could not find a way to access a living person.
my next step was to call my member of congress' office. at first they tried to explain how to use the IRS status site. I had to slowly and carefully explain that was not what I had asked. they said that they would see what information they could get and call back. I got two calls back, one from the local office I called and one from Washington DC.
basically, the current information is is that the IRS is mostly through electronic and paper filings through March. further Q&A, it seems to point to the assumption that the IRS does not even open returns that are expecting refunds until they have someone available to process them. so with the number of unprocessed returns being in the millions I expect that mine is in an huge warehouse along side a crate with the Ark of the Covenant.