Yeah, but that also leads to major temp swings as the hot barrel cools and possible complications with ambient temperature and available moisture,I use very hot water. So hot you have to use oven mitts to hold on to the barrel. It dries really fast.
,aka: dew point. Leading to the ever present "flash rust".
Your doing fine, water with a little common detergent (dawn) works the best, just switch it out for tepid water (think baby bath) and rinsing with the same.
I keep denatured alcohol available to use as a follow up rinse or patch wipe to help remove any water from the barrel and flash channel,
,then apply the lubrication as needed.
And my lubrication needs change with the use of my rifle, will I shoot it the next day? The next week? Or next year?
I know how I use my guns, I use the proper lubrication for my needs with each gun,,
p.s. i've never used "rig" on anything