If you broke your leg, you wouldn’t wear a cast for the rest of your life. The same concept can be applied to orthotics. Unless you have a serious medical reason for having a shoe insert or orthotic, you should not be shoving anything but your feet into your shoes.
Here’s an article, the “Effectiveness of Hallux Valgus Strap” from 2011. The “hallux valgus strap” used at night to decrease bunions was tested and found to be ineffective.
If you’re having foot problems, you may be prescribed orthotics without any prescription on how to fix your problem in the long term. Some orthotics may give you temporary relief, but if you don’t have a plan on how to treat the underlying issue, your problem will worsen, and your orthotic will become less and less effective as time goes on. Try these exercises instead, and get yourself a pair of flexible shoes that will allow for toe-spread.