Sub 3% still exists in fixed and ARM products for purchase loans. Refinance terms are hit and miss. There are a boatload of new loan companies who have never experienced an air pocket - rates suddenly moving away with no market guidance to offer - so there will be plenty of over promising and zero delivery on rates soon. Anyone in the mortgage business for more than 15 years has seen this already 2-3 times already. This isn't new.
Generalizing on rates now - For a great while it made no sense to refinance a 30 year fixed rate to a 10/1 ARM at 2.5% when you could get 2.625 or so on a fixed rate. Now... with refinance rates higher, that 2.5% 10/1 ARM comes back into focus. ARM products don't have the same yield spreads as fixed rates do, so getting a zero fee ARM is very difficult. If we see a 3.25 average refinance rate, then ARM's will be in the mid-upper 2's with reasonable costs. Refinance to an ARM with costs, then again this time at no cost if and when fixed rates return to the 2's.
Sky high unemployment, deferred rent being recaptured, no upward movement for income (anyone getting a bonus in 2021 BTW?) a coming collapse in commercial real estate, the Student Loan debt bomb not being defused, and shenanigans to come with the economy from this present Congress, you can assume the next two years will be difficult, and thus rates not shooting to the moon.
My .02c