I can confirm that this is absolutely a positive with the only caveat being on if Sadge has a recast delay on switching it's healing target (I can't remember off hand, not paid a huge amount of attention to it).
The lengths my fellow prog healers and myself went to to focus our fairies' embraces on the tanks would attest to this. I've mentioned it before but we've used gamepad emulation, keyboard macros, even pedals from steering wheels to bombard poor Eos with ceaseless embrace requests over the years and IMHO it was a bit of a shame when ShB took that away.