Are bone conducting headphones good for gyms that play music?

Hi.

Budget and location - 100€, Portugal

Preferred tonal balance - idc, as long as I can hear music.

How the gear will be used - mostly at the gym and while exercising

I'm considering buying headphones/earphones that I can use in the gym. I've been using my main ones, but I've been scared of ruining them with sweat, quick movements and impacts.

I have come across bone conducting headphones, but since they don't cover my ears, I'm scared I'd be hearing the music being played at the gym over my music.

Is that a problem in your experience?

Also, how do they handle if I'm running or doing box jumps?

Thanks!