That’s a good question. It also partially depends on the shamisen you have. If it’s a shamisen built for tsugaru style, the skin will be thick enough that you won’t have to worry about breaking it. In the end, it really depends on personal taste, I feel. Some people tend to gravitate to an aggressive style, and so will want to strike the skin more forcefully. Others are quite the opposite, and will want to strike more gently. Both cases are perfectly fine, and you can exhibit good, intentional technique either way.
On the same hand, I have a friend who was somewhat ‘pressured’ into playing tsugaru style. She was always attracted to kouta/jiuta styles of shamisen, but the only people around were tsugaru players, so she forced herself to play that style in order to get involved with other players. However, it never felt that natural or comfortable for her, and I believe it was just because she was naturally drawn towards a more gentler style than tsugaru. Recently, she’s rediscovered her love of kouta/jiuta styles, and is finally pursuing that.
Moral of that story: The shamisen is a great instrument for self expression. Just start playing the shamisen and try to get a feeling for how much power you like to use. If you find that you like to play gentler, play that way. If you like to play harder, that’s great too! (This is assuming your shamisen skin is sturdy) Playing how you like to play is the most important for emotional expression and connection to the shamisen.