I think the biggest issues with batteries used in the Volt are time and temperature. Since a higher voltage charger is used for shorter periods of time, I'd think a 240v charger would expose the cells to higher temperatures for less time and therefore stress the cells less than a 120v charger.
Apologies for being pedantic. Can't help myself.
A cycle is from 20% to 100% SOC. You're likely not doing that when you charge. The better way to calculate the number of cycles would be to take your EV miles and divide by 35 miles, which would be one full charge. So 35,000 EV miles would be 1000 cycles.
Apologies for being pedantic. Can't help myself.