That looked to me like IDPA. Do they have the same rules for Production?
You are correct. You do not want to fire that 7th round if you are competing in USPSA Revolver - you will get bumped to Open. At least USPSA allows you to load the 7th and 8th round though - not as challenging as IDPA SSR or ESR with a 7 or 8 rd gun, but close.
Seriously, you can, however, shoot Production, Limited 10, Limited or Open with your 627 in USPSA without needing to count rounds. Production is the best fit because it is scored minor (you would probably shoot 38 Specials), so you only have to deal with the 10/11 rd vs. 8 rd challenge - you can be reasonably competitive. It will probably cost you 1 or 2 additional reloads on most stages. Get squadded with some single stack competitors shooting Major (limited to 8 rd magazines)- it will help you learn to break down stages faster than trying to figure it out on your own.
Limited and Limited 10 will require you to compete with major scoring shooting minor and an 8 round gun vs. 10 or 20+. It can be done, but not by the faint of heart. In Open you get all these challenges as well as competing with optics and porting - truly for those in dire need of extreme humility.
You know, your area in WA is just one motivated revolver shooter away from having a functioning ICORE club. ICORE matches are by far the easiest of the 3 sports to set up, score and run.
Buy a good 6 shot for IDPA and use your 7 or 8 shot revo in ZSA 8 division, you get to buy a new gun, shoot the one you have, enjoy more shooting and stimulate the economy at the same time, we all win !!! Use your 6 shot in USPSA and get plenty of reload practice, then get to an ICORE match and choose which to shoot, how I love this COUNTRY !!!!