I've had partitions of Linux install no problem on Logical Paritions (not Primary Partitions) although, I don't know about certain distros being picky, you might wanna check on the specific distros website.
It seems to me that having the distros share the same partition would actually be bad, as config files from one, would differ from the other, which could cause problems (although, it might make things easier, making you only have to do something once). But, since you won't be running the distros at the same time, they can all share a swap partition, which will probably save you some space.
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