i dont remove it,you can if you want
on my sb,I remove the 2 lower t-cover bolts,1 each side,to drain the block,put them back in and flush it
you can run the engine with a rad flush,then drain and back flush it
I drill the 1/8" hole in the stat to burb it on fill up
I flush it till it runs clean with the petcock open on rad,stop water flow,let drain,flush,drain..ect
i do this 3-4 times
last time it drains,I close petcock,add 1 1/2 gallons antifreeze,fill thru the tee till it at top of rad,the hole I drill in stat lets all the air burb on fill up
test run till up to temp shut down and let cool,check water lever to make sure its full...done
thats the way I duz it anyway
never had a problem this way
if the stat is not drilled,I run till up to temp and wait for the stat to open then fill the rest of the way from top of rad...not the tee
i turn the hose on about 1/2 way when flushing thru the tee