Hi
@zamalik Like most on here I'm only an expert in my own body's diabetic reaction, however here is my guess as to what you may be experiencing:
The liver regulates blood glucose in so far as producing more glucose if the BG levels get 'too low' or if there is greater demand due to vigorous exercise (hence Dawn Phenomenon and also the fact that certain exercise can increase measured BG while less strenuous exercise usually reduces it). The 'too low' level is (like 'normal body weight') just based upon what the body has grown accustomed to. Thus the 'floor' BG of 5 may well be cause by your liver being unused to more normal BG levels since it hasn't yet had long enough to grow accustomed to them.
My own fasting BG is still usually in the high 6's to low 7's even though I dropped from diabetic to pre-diabetic and the to normal HbA1c fairly swiftly starting in summer of 2019.