Just because someone has the power to issue a subpoena does not mean that automatic compliance with the subpoena is required.

For example, attorneys in everyday civil litigation can issue subpoenas. Just because some attorney in some piece of litigation wants somebody to drop and do twenty pushups, dump all their files, or sit for 7 hours of questions, doesn't mean they are entitled to get it.

If you are on the receiving end of a subpoena then you, like anyone else, has the right to object to that subpoena for what might be all kinds of reasons why the subpoena is inappropriate, overbroad, or otherwise does not require your compliance. The person who makes that call is NOT the party which issued the subpoena.

Eric Holder, as you might remember, was found in contempt of the Republican House during his tenure. I don't recall anyone at DU calling for Eric Holder to be locked up, and that House didn't proceed any further:

https://www.politico.com/story/2012/06/holder-held-in-contempt-of-congress-077988

The House has voted to hold Attorney General Eric Holder in contempt of Congress over his failure to turn over documents related to the Fast and Furious scandal, the first time Congress has taken such a dramatic move against a sitting Cabinet official.

So, no, it's not some kind of automatic "lock 'em up" affair simply because someone refuses to comply with a Congressional subpoena, nor do we want it to be one.