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Yes, this would be ideal. This will help to prevent disease when you remove any dead or dying growth. Here is an article for pruning these: https://www.gardeningknowhow.com/ornamental/foliage/hosta/cutting-back-hosta-plants.htm

They do require a dormancy, where they must remain around 40 degrees. If your garage stays around this temperature, then this would be a perfect place to winter them in container. This article mentions container grown hosta, but the same care applies for wintering in container: https://www.gardeningknowhow.com/ornamental/shrubs/winter-daphne/daphne-plant-types.htm

The best thing would be to mix the capsule into warm water and either water or spray the plant with it. It does make a good deterrent, but while you are at it, you might even put a little rosemary oil in with it. This combination will stop most pests from eating your plants.This link will take you to a collection of articles that will give you good ideas on making your own pest control, among other useful gardening tips: https://www.gardeningknowhow.com/special/organic/

Usually, in an indoor setting, you will have to drop the duration of light it receives, reduce the temperatures, and reduce moisture to force it into dormancy. They really do benefit from having a rest period, and will prefer to have a dormancy once a year. It is likely that the plant suffered a temporary issue that has resolved itself. Whatever happened, it seems to have simulated its own dormancy. I would not expect it to do so every year. It might need some help in the future to achieve this.

You can either keep them as houseplants or let them go dormant until spring, as described here:
http://www.pennlive.com/gardening/2014/12/do_potted_plants_need_light_in.html

Indoors, provide them with a sunny window, and add a grow light if you don't have much light coming in through the window. Water sparingly, but enough to keep them from wilting. Plants don't use as much water in winter as in summer. Avoid fertilizing until they're planted and beginning to grow in their new location.

Hostas should stay green longer into the fall or winter in zone 9 than they would in colder areas, but they do need a dormant period of a few months. The leaves will probably go brown around November or December., but then they'll grow back in early spring.