Personally, I wouldn't want to keep drying the metal out like that after every range session. I am a firm believer that many tend to overclean their weapons.
Here's my cleaning regimen after taking a handgun to the range.
Disassemble.
Run a bronze brush loaded with FP-10 through the barrel a few times and set aside.
Wipe all carbon/grease/dirt etc. off using an FP-10 soaked patch followed by dry patches and pipe cleaners, Q-Tips, etc.
Finish the barrel with a series of dry patches, followed by an oil loaded patch, then dry again, and finally finish with a patch dampened (not soaked) with oil.
Put a drop of oil on the springs and pins.
Wipe everything down with an oil dampened rag.
Lube the slide rails if it's a semi.
Reassemble, function check, and a final oil rubdown.
Done in 15min.