Yes, we are all the same! It seems that Domestic Violence is Found in all types of Relationships | A Review of Same Sex Intimate Partner Violence

Life-time prevalence of IPV in LGB couples appeared to be similar to or higher than in heterosexual ones: 61.1% of bisexual women, 43.8% of lesbian women, 37.3% of bisexual men, and 26.0% of homosexual men experienced IPV during their life, while 5.0% of heterosexual women and 29.0% of heterosexual men experienced IPV.

When episodes of severe violence were considered, prevalence was similar or higher for LGB adults (bisexual women: 49.3%; lesbian women: 29.4%; homosexual men: 16.4%) compared to heterosexual adults (heterosexual women: 23.6%; heterosexual men: 13.9%)