Does it fall under cloaking in pagination?

[Myntra]

When i am trying to implement rel=next and prev tag in my pages and due to prefetching feature of firefox browser some how more calls are coming to my server for one page and its effecting my page performance.

Solution that i can think of is

1. Increase my server capacity to handle it smoothly - not possible to invest for this change

2. Show this tags only when bot crawls the pages and not when user is coming through browser.

My question is does option 2 fall under cloaking ?

[Matthew_Edgar]

This URL contains some advanced tricks to specifically prevent prefetching by Firefox. I've only tried to the htaccess mod_rewrite technique. However, I modified that technique to send prefetch attempts to an empty file instead of the normal 404 page (saving resources): http://www.petefreitag.com/item/312.cfm

I would avoid only showing tags to Googlebot. It does look a little spammy and like cloaking but more than that, adjusting content for Google can be an involved coding process that comes with risks (accidentally showing something else to Google, etc.).