I don't ever press the fruit. I cut the raisins in half and the yeast will do the rest. Squeezing fruit puts extra solids into the wine. I just pick the bag up and let it drip off right before pulling out the fruit only. The weight of the fruit/raisins/nanners will softly squeeze out the juice. Squeezing a harder type fruit (such as cut apples) after fermentation shouldn't hurt, but berries have seeds and unwanted pulp that I'd rather not press or squeeze very hard. Squeezing too hard can release more pectin, too. I wouldn't use surgical gloves because many have coatings on the inside and I rather not risk wine going into and then out of the glove as you squeeze.
We freeze the fruit prior to use, so it mostly is eaten by the yeast. Pineapple, which we don't freeze, we cut very thin. When we are done, we put it into our large press and just get the juice off it without pressing it. We have tried pressing before, but it makes the wine more cloudy and harder to clear, but again that's with a press, not just squeezing.
So, my final thought is this, as long as you don't press too hard, you'll probably be fine. May not clear as fast, but if you have enough wine on hand, it's not a problem. If you are looking for full body, start with enough fruit and you won't be squeezing the life out of the fruit to get enough flavor. lol