Did Democrats reverse border wall position after Donald Trump was elected?

https://www.politifact.com/truth-o-meter/statements/2019/jan/09/donald-trump/trump-democrats-reverse-border-wall-position/

Our ruling

Trump said Schumer has "has repeatedly supported a physical barrier in the past along with many other Democrats. They changed their mind only after I was elected president."

Schumer, along with tens of other Democrats including former President Barack Obama, voted for the Secure Fence Act of 2006, which authorized building a fence along about 700 miles of the border between the United States and Mexico. That’s the majority of the barrier in place today along the southern border.

However, the fence was mocked as a "nothing wall" by Trump in the past and was far less ambitious, both politically and physically, than the wall Trump wants to build now.

Finally, Trump says the Democrats no longer support their previous position simply because he wants it. But Democrats have actually proposed current funding for the fencing that was approved in 2006. 

We rate this statement Mostly False.