It's not possible to disclose precise information without knowing spectrum holdings/configuration, installed tower equipment, distance from tower, and the current network conditions. The only thing they could disclose are things like throttling video, and give an approximation of what a market might expect typical speeds to be around.
This home internet thing is basically a hotspot for your home. As such, I would guess the answer is "it depends."
I would also not pay for this as I already have T-Mobile One w/ International Plus option (+$25/month) that gives unlimited hotspot. It actually was my home internet for almost a year, until Spectrum setup in the neighborhood (previous provider was trash. Capping at 10 Mbps, "peak hours" of 3pm-2am, etc.). But if I didn't have the previously mentioned option and Spectrum hadn't come in yet? Oh, for sure, would be all over it.
On the "Why we do it" page it says "Offered exclusively where we expect speeds of around 50 Mbps."
The terms also list the usual stuff that makes me shy away from using it. "During congestion, Home Internet customers may notice speeds lower than other customers due to data prioritization."
This is made for people living in rural areas where satellite is the biggest competitor.
https://www.t-mobile.com/responsibility/consumer-info/polici...
T-Mobile when locked to band 4 (which in my market is a full 20mhz x 20mhz) does around 35mbit down, 10mbit up typically. This is from a distance of around 3 miles from a tower in a fairly rural area. I can maybe pull around 50mbit with 3 carrier aggregation (10mhz of band 2 and 5mhz of band 12 added on)
Sprint is ~5mbit/0.5mbit INDOORS on band 25 (10mhz) and 26 (5mhz). If I put phone in a window I can get band 41 and aggregate 3 carriers of 20mhz LTE-TDD. This gets me around 75mbit down and 1mbit up.