Deep Creek Rock
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No that does not work...
What that does is force that lead into the pores of the barrel and smear it in real good.
It may look clean but it is a mess and as soon as you start to clean it you will realize that.
Always shoot jacketed bullets first if you have both jacketed and lead. Never shoot the lead first.
You cannot make copper fowling worse by following it with lead but the reverse is not true.
Ive actually heard the reverse - that shooting copper first, will cause lead to strip from the copper fouling, if you follow up by shooting cast after jacketed.
Id personally would stick to one or the other - making sure whatever fouling is left behind gets totally cleaned before switching to a different jacketing/ cast bullet.