Having been disappointed with Chansey inheriting from Xatu, I shopped around for other Magic Bouncers that could heal. I ended up inheriting from Espeon, expecting to abandon it in disgust in short order, just like Xatu.
Espeon Chansey is amazing.
It can switch in on most stallmons and the vast majority of Special attackers, Wish, and then Baton Pass to react to the enemy's switch (Or lack thereof) if I'm not confident a manual switch is safe. By far the biggest implication of this is safe Wish-passing. If my relevant Unaware wall is so badly mauled it can't actually switch into a Special setup sweeper, or worse yet so badly mauled I can't even sacrifice something and revenge with it, Chansey can ensure it comes in on full health without being hurt anyway. Espeon also provides the ever-valuable Heal Bell, and the fact that Wish is slow isn't even a problem: I can Wishtect, and Protect is itself useful for burning PP on low PP moves, scouting for possible Trick or Knock Off attempts, or waiting out temporary effects such as Sandstorm.
The result isn't even really Taunt bait, because they need Mold Breaker to get past Magic Bounce, and Mold Breaker Taunt A: isn't that popular and B: isn't a surprise. (Because Mold Breaker announces itself) Plus, most Mold Breaker Taunters are Physical attackers you shouldn't be switching Chansey into anyway. Mega Ampharos is really the only exception, and I haven't actually seen it yet.
It can even stall out the PP of most non-Choice Specs Desolate Land/Primordial Sea Eruption/Water Spout spam via Wishtecting.
252+ SpA Heatran Eruption (150 BP) vs. 4 HP / 252 SpD Eviolite Chansey in Harsh Sunshine: 207-244 (32.2 - 38%) -- 95.8% chance to 3HKO
It's a fairly passive Pokemon, but I can even see it being used on more offensive teams as a way to, for instance, safely bring in more fragile Scarfers, bounce enemy hazards, clear major status problems, and maybe even extend the life of your Pokemon via Wish. I dunno. It's great stuff for stall, anyway.
I've been running Chansey inheriting from Sableye-Mega; with Recover/Foul Play/Will-O-Wisp/Metal Burst, you can pressure a LOT of offensive Pokemon into switching out. Plus, if you haven't revealed yourself yet, Metal Burst can be used to pinch kill most sweepers that aren't Fighting-Type/really strong physically. Unfortunately, it can't wish pass, but it's far less passive than the set you describe. It's (in my opinion) preferable on stall, although I think Espeon-Chansey is a huge weapon for offense.