IHMO it depends entirely on what work the saw has to do
I have seen a 5HP CS/1 running a big firewood saw of similar dimensions locally for years. Because the saw is doing cut after cut after cut, with a moment between each one, and because the operator controls the "feed speed", the CS handles that just fine
In various sawmills I have worked on there have been #2 or #3 saws around that size, working as secondary-cut saws behind the big breaking-down saw - typically these have had 40 - 60 Hp motors or similar, as the performance of the saw depends on the rotational speed remaining constant despite varying loads and feed speeds.
If you are running any kind of production sawmill off of a diesel motor this is just a recipe for slow bankruptcy - IMHO
Because of the big flywheel, the CS will make a good firewood saw motor - as long as you know what you are doing with setting-and-sharpening the teeth, and as long as you can control the feed speed manually.
Just my $0.02
Cheers