Grace Like Gravity were a band from Denver, Colorado, active in the early 2000s and possibly before or after, as I'll get to. Last.FM claims they broke up shortly after the release of their EP, which implies they called it quits in 2005. They played a blend of pop punk, mainstream post-hardcore, and emo pop. While era of their existence implies a certain connection to the strongest currents in emo at the time, they really have more of the 90s emo punk scene in them, which is to say these guys were closer to Eleventeen than Hawthorne Heights. They played with Midtown and Fall Out Boy, which gives you an idea of where they were coming from.
Their first album was in 2004, nothing we say leaves this room. Its combination of emo pop and post-hardcore works quite well, and the addition of some hardcore vocals give it an edge a lot of their contemporaries lacked. Album closer "liar campaign' is a real highlight. In 2005 they released an EP called No Sense of Urgency, which is aiming for something different. The band swerves towards the kind of pop punk/dance punk that one might expect from Panic! At The Disco. The EP lacks that extreme level of polish and doesn't fully commit to the change, retaining a lot of their previous characteristics, but it's still an indication that they might have been headed in a different sonic direction.
Their third release is where things get vague. The Eisenhower Plan is, theoretically, their second album. There are two problems with this. First off, they are supposed to have disbanded in 2005, and the album was released in 2016. Secondly, it sounds nothing like the EP. I don't know for sure what's going on and I haven't been able to find any information on the LP at all, it just appeared on streaming along with the rest of the band's discography; however, according to Spotify, it was added a year after the other two releases, which have a date of 2015.
I don't think this is really a second album; not one that was released in 2016, anyway. I think The Eisenhower Plan is either an unreleased second album, recorded before the band broke up, or it may be their actual first album. This theory is completely unsubstantiated, but I find it compelling based on the album's sound, which does not at all follow from the EP and even lacks so much of the 2000s emo influence from nothing we say leaves this room. Compared to that album, Eisenhower might as well be MxPx. That's an exaggeration, of course, but it illustrates the divide. The purer emo-pop punk of Eisenhower could be an indication of earlier work. Or, maybe the band really did get back together and drop a whole new album eleven years after their previous release, who knows.
Thanks to life.love.regret86 for pointing me in this band's direction.