Webb,
Below is an MDA file that includes a 11/7/2017 write-up done by MDA mets on the correlation of winter temp anomalies for the E 2/3 of the US to MJO amplitude. This was based on an 11 year dataset of years with similar SSTs to the last 2 winters. In general, they found that weaker MJO amps averaged colder than stronger ones in the E 2/3 of the US overall for these 11 winters. They told me that the stronger MJOs tended to cause a stronger N Pac jet that tended to result in more zonal flow, which cut off the NW flow from the Arctic. Keep in mind that their analysis was based on only 11 years (out of 43 I assume) with similar SSTs. They didn't analyze the other winters. That's not to say that they wouldn't have found something similar for those but we don't know.
Edit: Unfortunately, the file is 1.3 MB, which is too large to load. So, here is a copy of the text:
"Northern Hemispheric and tropical sea surface temperatures feature a similar spatial spread of anomalies as observed a year ago, so we ask if there is anything we learned about the MJO last year that can be applied again for the upcoming winter. One notable factor from last winter was just how strong the MJO was, especially in February when the MJO had an average amplitude of 2.3 in a month which was record warmest by a large 47 GWHDDs. A large part of the second half of January also featured a strong MJO signal and periods of record warmth. Oppositely, colder periods in mid-December and early to mid-January were observed with a weak MJO signal. Taking those considerations, we test whether other years with a similar sea surface temperature regime as is current are consistent in this regard. The maps below highlight the data, which only considers the ampli-tude of the MJO and not the phase in which the signal resides. These suggest a similar theme with a weaker signal allowing for colder air into the Eastern Two-Thirds while the strong MJO dates were broadly warmer. This is a consideration to be had as we go forward, on top of the phase that the signal resides."