Showing bots better performance won't help SEO. If that is what you hope to gain from it, it won't work.
Google's algorithms for slow sites only punish really slow sites. Ones that take 7+ seconds to serve the initial page request. As long as your site is even decently fast, you won't have any problems with Google's site speed algorithms that punish slow sites as measured by Googlebot.
Improving your site speed such that everything above the fold is usable in under 3 seconds can improve your SEO, but you need to make that performance available to both users and bots. For SEO in this realm Google notices users positive reactions to better performing sites rather than measuring the speed directly itself.
It is possible to put load balancer rules in place to serve the Googlebot user agent from its own set of faster servers. I've tried it. It does nothing to improve SEO. Plus it is dangerous. If that set of servers goes down, it is hard to notice because you won't see any problems with your site. However, Googlebot will start getting errors and start kicking your pages out of the index.