Probably true. I'm for some social programs, but that doesn't make me a socialist. And if progressive was defined as it was in Teddy Roosevelt's time, I'd be a progressive.
This is way OT, but I just want to say it.
Conservative or progressive, those definitions should remain constant. Which ideologies are currently conservative or progressive can change. They are relative to what you want to conserve, or from what you want to progress. Soviet conservatives wanted to conserve the old communist traditions. The progressives wanted to progress towards "openness". The progressives won, sorta.
In America the ideologies attached to conservative or progressive are backwards from that. What your goals are, politically, don't absolutely make you progressive or conservative. It's what you have versus what you want. If you've got what you want, you want to conserve it. I think it is impossible for progressives not to win eventually. Eventually "progress" happens whether it's good or bad. I think eventually America will no longer have a 2nd Amendment.