I faced the same problems with 2 G07's. I know they're claimed to be the best/longest lasting when fitted with new parts, but I decided to simply sell the chassis as is and get about $20 for them each on ebay. I then bought 8liners chassis to replace them and they gave me much more geometry controls and no hum bars and sync issues with newer boards like the G07's have done.
So I figured $34 shipped from Bob for a fix-it kit, or sell them as-is and make $20 each and buy a 8liners for $72 shipped... net cost difference between the two options: $72-20-34 = $18 more than Bob's option for a complete new monitor. That $18 covers the time involved in fixing up the old one to desoldering tons of parts hoping that will fix things.
From what I've read; if the hot it bad the flyback probably is too, and vise-versa. Replacing one may fry the opposite new one. But I've avoided working on anything beyond cap kits and pot replacements.
No, the replacement chassis are not perfect but for home use and the versatility in them (swapping in tv tubes/yokes) for me, anyway, outweigh the value of a 25 year old G07 board with limted ranges and geometry controls.