I'm pasting the same summary of guidance from 6 different wine makiing forums/help sources.
Bottom line after you read this is - where did your corks come from? If you know they were sanitized, coated and properly sealed AND you use a floor corker, stand corker the consensus is no need to clean, sanitize, soak or even rinse them. BUT if you use a hand corker, your corks came in zip lock baggie, or the once sealed bag has been around for a while - sanitizing is probably not a bad idea. And there is the above 'dry sanitization method which may not help with hand corkers.
Keep in mind that the packages I see corks in say nothing about coatings, sanitization etc on them. While you may not have any problems - without some statement on the package you have no certainty of knowing about the corks condition. There are always people out there trying to make a little more money and willing to cut corners. (China sourced products etc)
Checked out 6 sources and a short summary...
1)
http://www.eckraus.com/blog/preparin...-homemade-wine
Recommends: Rinsing or soaking does not suggest for or against boiling.
2)
https://winemakermag.com/630-should-...or-to-bottling
Recommends: Insert dry - assumes all corks now are pre-sanitized and coated properly.
3)
http://www.midwestsupplies.com/how-to-prepare-corks
Recommends: Dry insert for floor and stand corkers or 20 warm solution soak for Hand corkers - Against boiling.
4)
https://www.finevinewines.com/HOW-TO...YOUR-CORKS.htm
Recommends: Sanitizing with one of two methods but not soaking or boiling.
5)
http://winemakersacademy.com/boil-corks-wine/
Recommends: Dry insert or a quick star-san dip
6)
http://www.letsdowine.com/bottlingwine.html
Recommends: Rinse in sanitizer and possibly a little glycerine if difficult with hand corker.
My decision is that with my hand corker I will drop my corks in a sanitizing solution for 10-30 mins before using them.