Orthodox Christians are not immune from cultural shifts. For example, slightly more than 3/4 of Orthodox college students in America (77%) identify as straight. The vast majority (97.7%) identify as male or female (as distinct from a variety of other gender identities).
Source: Ryan Burge, “Gender, Sexual Orientation and Religion Among American College Students.”
I think it would be fascinating to see the Orthodox numbers parsed by jurisdiction and "cradle/convert" demographics.
I notice these numbers reverse the usual Catholic vs. Orthodox comparison, as every other survey I have seen over the years has Orthodox respondents slightly better than Catholic (but only just). Anecdotally, I have only experienced a couple of people within Orthodox parish life who explicitly identified as homosexualist, argued for its normalization, etc. On the other hand I sent my children to Catholic schools and youth groups (no Orthodox option being available) for years and we had to dodge the LBQT alphabet folks too often, and was one of the factors for us deciding to switch to a school ran by evangelicals ("soft" Calvinists?) as they did not tolerate it.