There is a difference.
A lot of people who claim to be liberal, just aren’t left wing. The good example is the FDP party in Germany.
To quote Wikipedia: The FDP’s political position has variously been described as centrist, centre-right, and right-wing. The FDP has been described as liberal, conservative-liberal, classical-liberal, and liberal-conservative. Other sources have described the party as libertarian or right-libertarian.
There are left wing liberals, but don’t act like they usually call themselves liberal.
If you see paying for sexual services as consensual, he probably did.
If you don’t, he probably didn’t.