Our refund is held up due to the unemployment tax break. Is that why we have not gotten our stimulus payment??

Taxes filed with TT on Feb. 14.  They have been held up because of the unemployment tax break and the IRS is now saying they will start issuing refunds in May (have done direct deposit to same bank for over 10 years). However, we also did not get our stimulus payment (#1 and #2 were direct deposited immediately). I would think there would be an outcry by all of the people on unemployment who filed taxes early and now have not gotten stimulus because of the holdup?  IRS Get My Payment says “Payment Status - Not Available.”  Anyone else??  Will we get our stimulus once our 2020 taxes are processed in May?  Any clues?