In agreement with everyone else.
If you don't mirror your jfslog and paging space, you might not survive a disk failure. If the disk with those fails, the running system can no longer write to any rootvg filesystems, which is bad, but before that can happen, the kernel can't access paging space, which will crash your systems pretty much immediately.
Booting into a rootvg in a missing-drive config without those LVs having been mirrored will also be impossible - the filesystems cannot be mounted without a jfslog. I've never tried bringing a system up without any paging space, but I have a suspicion AIX won't come up - it'll probably stop with C51 on the front panel display.