In the 2000s, this was still something acceptable just to some people, while by 2010s most of the youth (and some middle-aged people) have accepted it as a possible alternative.
Initially, the meetings would be arranged through Lithuanian "friend-finding" websites, which were somewhat out-competed by "Tinder" in the mid-2010s.
There have been many sad public stories about Lithuanian girls who discovered something very different than they expected after moving abroad (suffering abuse and losing their children after divorce due to laws preferring local citizens in custody battles). an Italian or a Spaniard) may have prevailed among Lithuanian women in the 1990s, currently such sad stories have likely outweighed it.
Furthermore, Lithuania itself is now richer (even if lagging behind the West somewhat) thus a British or American working-class salary no longer seems to be miraculous to the Lithuanian girls.
Often, the "price" such women expect is high and, on the higher tiers, may include demands for gifted cars and expensive jewelry.
The women who effectively "sell themselves" long-term this way, are known in Lithuanian as "barracudas", usually a derogatory term.
In Lithuania, dating is less accentuated than in some Western societies, as the number of lifetime partners (including sexual partners) is much lower among the Lithuanians.