No, and I think the change of position would only very slightly lessen the chance of an in game injury.
To me, it's more about Mayer's defense at SS and his health issues. If we think Mayer is really good on D, I'd move Story, but IMO, Mayer is not "that good," right now. Other than Mayer, I don't see anyone else that might even come close to Story's SS defense, which I view as elite and GG caliber.
The idea of one of these two playing 3B is intriguing, as well, assuming we trade Casas and move Devers to 1B, or we trade Yoshida and Abreu and move Casas to DH and Devers to 1B.
This might work well, especially, if we get something back for Yoshi + Abreu.
C: Teel-Wong
1B: Devers-Casas
2B: Campbell- DHam
SS: Story- Mayer
3B: Mayer-Devers
LF: Duran-Refsnyder
CF: Rafaela-Duran
RF: Anthony-Rafsnyder
DH: Casas-Campbell-EValdez
This looks very impressive, to me.