Is their any advantage of installing OS on a primary, rather than on a logical, partition? If so, how? Please, relate to windows vs linux.

=========sounds like an essay topic

As far as My experience of installing Redhat Linux 9.0 Goes....

If I tried installing Redhat Linux 9.0 on a computer with an unpartitioned (free) space along with the primary partition of windows, I could not execute its Automatic Partition and had to partition manually, two partitions....
1) /
2) swap

Secondly, If I tried installing Redhat Linux 9.0 on a Logical partition (free space) then It allowed automatic partitioning and created
1) /boot
2) /
3) swap
all on its own with appropriate sizes!

In windows, if you try installing it in Primary (which happens by default) its fine!.

If another version of windows is installed in the second partition then it makes separate program files for both and application used in the other Windows on the primary cannot be used...

In other words, there is a wastage of disk space.

Remarkably, some (very few) applications work who dont require the registry or some additional information or additional files. (mostly with some degradation)

There is only one real advantage, most BIOSes only boot from primary partitions. Other than that there's really no difference, I believe Windows also has problems booting from logical partitions but that's a Windows specific problem.

then why does windows have problems booting from a logical partition. could it be a technical necessity of the windows system, or is there a technical advantage of booting from a primary partition?

Well since most BIOSes can only boot from a primary partition, they probably just assume that they'll be running from a primary partition. I'm not a disk expert, but I can't think of any reason why booting from primary is different than booting from a logical other the fact that you need a primary partition for the BIOS to hand off control to.