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I have a large open area in my backyard that is sloped where i dont want grass because it would be dangerous to mow. A couple years ago i went to a local gardening shop and asked for recommendations on a variety of flowering plants that will spread over time and take over the area. I was looking to attract butterflys, bees, and hummingbirds.

Fast forward a baby and an injured wife later, I simply didnt have the time to devote to weeding one year and it was overtaken in short order. Half of the plants have been choked out but I found the time recently to clean it up.

I have some Bee Balms like below:

I am not sure though if it is spreading very much, however there is this one plant that looks incredibly similar to me that spreads like crazy and comes back with a vengeance when i pull it. My wife told me to stop pulling these because she says it is the Bee Balm trying to spread but there are a few minor differences.

Where I planted the Bee Balm it has these beautiful red flowers however this spreading plant below does not seem to flower. The leaves and stems are very very similar but I am just not sure.

Are these the same plant? If not what kind of virulent weed is this?

I can tell you that it isn't Monarda (bee balm) - if you look closely at the images you've posted, you will see tiny flowers in the leaf axils. Those rule out Monarda - but I cannot tell you what it actually is because I don't recognise it. If you did not plant anything else in that area, the likelihood is its a weed, but remember, the definition of a weed is simply a plant growing in the wrong place. If you do not have the time to weed out thoroughly, nor have ideas for what to plant instead, its probably best to leave them in situ until you do have time. Many plants considered to be weeds are attractive to insects, usually because they are native plants, or wild flowers.

Some sort of ground cover plant that you do like would be useful, if its a large area - relying on taller perennials to spread and fill such an area will take years. It depends where you are and the aspect in regard to what plants would suit the situation, but a combination of taller, insect friendly plants and something that covers the ground to keep out weeds would be best if the area is very large.

UPDATE - Having checked, you appear to be in USDA zone 6b - some information here on ground cover plants for your area https://www.gardeningknowhow.com/garden-how-to/gardening-by-zone/zone-6/zone-6-ground-covers.htm. Those which flower will attract insects, particularly pollinating ones like bees.

It appears to be False Nettle (Boehmeria cylindrica), as Bamboo says not Monarda; yes it comes back rapidly and weedily but it pulls easily, despite being a nettle it does not sting, and makes good compost. Check this page for a good description - here is a wiki page. Focus on the flower differences.