Would the "Match accross services" work with carp based hash persistence?

Check out this article: https://support.f5.com/csp/article/K11362

Note: The CARP hash algorithm is not fully compatible with the Match Across settings documented in K5837: Match Across options for session persistence. It can work with Match Across Services and Match Across Virtual Servers only if the profile is applied to virtual servers which share a single pool.